Infobox scientist name DanielQuillen image birth date Birth date 1940 6 22 birth place Orange, New Jersey death date Death date and age 2011 4 30 1940 6 22 ref http www.commalg.org 2011 05 danielquillenDanielQuillen entry posted on Sunday, May 1, 2011 ref nationality United States American ethnicity ... 70, in Florida. ref name commalg cite web title commalg.org DanielQuillen url http www.commalg.org 2011 05 danielquillen year 2011 accessdate 05 03 2011 ref Mathematical contributions Quillen s most ... DanielQuillen obituary newspaper The Guardian date June 23, 2011 url http www.guardian.co.uk science 2011 jun 23 danielquillen obituary ref His proof of the conjecture used techniques from the modular ... unpublished notes Citation last1 Quillen first1 Daniel G. title Homotopical algebra publisher ... doi 10.1007 BFb0097438 mr 0223432 year 1967 volume 43 citation mr 0253350 authorlink DanielQuillen last Quillen first Daniel title On the formal group laws of unoriented and complex cobordism theory ... Annals of Mathematics Citation last1 Quillen first1 Daniel author1 link DanielQuillen title ... Quillen first1 Daniel author1 link DanielQuillen title The spectrum of an equivariant cohomology ... Series issn 0003 486X volume 94 pages 549 572 Citation last1 Quillen first1 Daniel author1 link DanielQuillen title The spectrum of an equivariant cohomology ring. II jstor 1970771 mr 0298694 year ... pages 573 602 Citation last1 Quillen first1 Daniel author1 link DanielQuillen title Algebraic K theory ... Daniel author1 link DanielQuillen title Proceedings of the International Congress of Mathematicians ... Quillen first1 Daniel title New developments in topology Proc. Sympos. Algebraic Topology, Oxford, 1972 ... Quillen first Daniel authorlink DanielQuillen year 1976 title Projective modules over polynomial ... Quillen first1 Daniel author1 link DanielQuillen title Superconnections and the Chern character doi ... Persondata . NAME Quillen, Daniel Gray ALTERNATIVE NAMES SHORT DESCRIPTION American mathematician ... more details
In homotopy theory , a branch of mathematics , a Quillen adjunction between two closed model category closed model categories C and D is a special kind of adjoint functor adjunction between category mathematics categories that induces an adjunction between the homotopy category homotopy categories Ho C and Ho D via the total derived functor construction. Quillen adjunctions are named in honor of the mathematician DanielQuillen . Formal definition Given two closed model categories C and D , a Quillen adjunction is a pair F , G C math leftrightarrows math D of adjoint functor s with F left adjoint to G such that F preserves cofibration s and trivial cofibrations or, equivalently by the closed model axioms, such that G preserves fibration s and trivial fibrations. In such an adjunction F is called the left Quillen functor and G is called the right Quillen functor . Properties It is a consequence of the axioms that a left right Quillen functor preserves weak equivalence s between cofibrant fibrant objects. The total derived functor theorem of Quillen says that the total left derived functor L F Ho C &rarr Ho D is a left adjoint to the total right derived functor R G Ho D &rarr Ho C . This adjunction L F , R G is called the derived adjunction . If F , G is a Quillen adjunction as above such that F c &rarr d is a weak equivalence in D if and only if c &rarr G d is a weak equivalence in C then it is called a Quillen equivalence of the closed model categories C and D . In this case the derived adjunction is an adjoint equivalence of categories so that L F c &rarr d is an isomorphism in Ho D if and only if c &rarr R G d is an isomorphism in Ho C . References Goerss, Jardine. Simplicial Homotopy Theory . http www math.mit.edu larsh teaching S2005 l12 http www math.mit.edu larsh teaching S2005 l13 Category Homotopy theory Category Continuous mappings Category Adjoint functors ... more details
Infobox River river name Quillen River image name image size caption origin mouth basin countries Chile length elevation mouth elevation discharge watershed The Quillen River is a river of Chile . See also List of rivers of Chile References http www.dga.cl otros informestecnicos informestecnicos SDT183 InformeBioBio.pdf EVALUACION DE LOS RECURSOS HIDRICOS SUPERFICIALES EN LA CUENCA DEL RIO BIO BIO Chile geo stub Category Rivers of Chile coord missing Chile ... more details
Infobox Congressman name Jimmy Quillen image name JimmyQuillen.jpg birth date birth date 1916 01 11 ref ... L. Jenkins party Republican Party United States Republican religion spouse James Henry Quillen , usually known as Jimmy Quillen January 11, 1916 ref name birthdate Selective Service System and U.S. Navy official records both liste Quillen s date of birth as January 11, 1915. ref &ndash November 2 ... from Tennessee from 1963 to 1997. Early life Quillen was born in Scott County, Virginia , son of John A. and Hannah Quillen, near the Tennessee line and was later a 1934 graduate of Dobyns Bennett High School in Kingsport, Tennessee . Quillen worked as a restaurant kitchen prep worker, a grocery .... During 1936, Quillen invested his own personal savings of 42 to become the publisher and owner of The Kingsport Mirror , a weekly newspaper that he started in Kingsport, Tennessee . Quillen sold ... Court Apartments to start up another weekly newspaper, The Johnson City Times . ref Jimmy Quillen ... II , Quillen received a two year Selective Service System Selective Service System Class 3 A draft deferment .... Classification Record. Washington County, Tennessee Local Board No.1, Order Number 274 ref Quillen later served in the United States Navy as a public information officer from 1942 late 1942 to 1946. Quillen ... on Japan . The National Archives records list LT j.g. J.H. Quillen s service number within the USS ... executive following World War II , Quillen also was elected to the Tennessee House of Representatives in 1954, serving four terms as a Republican member within the Tennessee General Assembly. Quillen ..., took over as a caretaker until the next election. Quillen decided not to run for a fifth term ... 100px thumb alt Notch Baby button. Notch Baby button. Quillen was reelected 16 more times over opponents whom simply could not match the oft reported resources of the Quillen congressional campaign ..., and was completely unopposed in both the 1984 and 1990 general elections. Quillen eventually became ... more details
Verni Robert Quillen March 25, 1887 December 9, 1948 was an United States American journalist and humorist ... The Selected Writings of Robert Quillen, 1920 1948 Columbia University of South Carolina Press, 2008 , xi. ref Youth and early career Quillen was born in Syracuse, Kansas , near the Colorado border, and was reared in Overbrook, Kansas , a hamlet south of Topeka , where his father, J. D. Quillen, published the local newspaper. ref Moore, xi. According to Quillen, his paternal grandfather was a dour ..., 84. ref In 1904, shortly before his seventeenth birthday, Quillen joined the U.S. Army under an assumed .... ref Moore, xii. Quillen published an autobiographical essay, Concerning Me on October 17 ... after his first encounter he remained in Fountain Inn only three months, Quillen there met and married ... his new bride to Washington State, where Quillen joined forces with his father and worked at publishing ... Orchard, Washington Port Orchard . ref Moore, xii xiii. ref Quillen later wrote that he had gone ... 120 px thumb right Quillen s Monument to Eve, 1925 ref Last week the obelisk was erected in my ... Inn offered to sell him a weekly advertising sheet called News and Notions , Quillen bought it and borrowed money to purchase his own press and type. In the following year Quillen began editing ... with news of Fountain Inn and outlying communities. ref name Moore, xiii At first, as Quillen confessed .... One Fountain Inn man warned a new preacher, Don t get mad at anything Mr. Quillen says. We re used to him and just overlook his queerness. ref Moore, xiv. ref Among other oddities, Quillen regularly ... Inn , Cosmopolitan magazine Cosmopolitan September 1933 , 69. Quillen thought it shameful that people ... into his forties, Quillen hoped to become a great novelist. Macmillan Publishers Macmillan published .... ref Moore, xix Springfield Republican November 30, 1924 , 7. ref A decade later Quillen referred to these books as fortunately out of print. ref name Moore, xix Moore, xix. ref Meanwhile, Quillen ... more details
Infobox MLB player name Lee Quillen position Third baseman image Lee Quillen.jpg bats Right throws Right birth date Birth date 1882 5 5 mf y birth place North Branch, Minnesota death date death date and age 1965 5 14 1882 5 5 death place Saint Paul, Minnesota debutdate September 30 debutyear By 1906 debutteam Chicago White Sox finaldate August 14 finalyear By 1907 finalteam Chicago White Sox stat1label Batting average stat1value .200 stat2label Home run s stat2value 0 stat3label Run batted in Runs batted in stat3value 14 teams nowiki nowiki Chicago White Sox 1906 07 Leon Abner Quillen born Leon Abner Quillin , May 5, 1882 May 14, 1965 was a professional baseball third baseman . He played parts of two seasons in Major League Baseball , by 1906 and by 1907 , with the Chicago White Sox . Quillen started his professional baseball career in by 1902 with the minor league baseball minor league Minneapolis Millers of the newly formed American Association 20th century American Association . In 1906, he had a breakout year with the Lincoln Ducklings in the Western League defunct minor league Western League , hitting for a .350 average. He was sent to the major league White Sox towards the end of the season and played four games for the eventual World Series champions. The following year, he hit just .192 as Chicago s backup third baseman. Quillen returned to the Millers in by 1908 and by 1909 . In 1910, he scored 133 runs for the Western League champion Sioux City Packers . ref http www.minorleaguebaseball.com milb history top100.jsp?idx 80 1910 Sioux City Packers . MinorLeagueBaseball.com . Retrieved 2010 10 16. ref After four more years in the minors, Quillen finished his career in by 1914 with the Lincoln team, now renamed the Tigers. References reflist External links Baseballstats ... Quillen, Lee ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH May 5, 1882 PLACE OF BIRTH North Branch, Minnesota DATE OF DEATH May 14, 1965 PLACE OF DEATH Saint Paul, Minnesota DEFAULTSORT Quillen ... more details
year 1974 Citation last1 Quillen first1 Daniel author1 link DanielQuillen title On the co homology ...In commutative algebra , Andr Quillen cohomology is a theory of cohomology for commutative ring s which is closely related to the cotangent complex . It was defined independently by M. Andr and by DanielQuillen using methods of homotopy theory . It comes with a parallel homology theory called Andr Quillen homology . Motivation Let A be a commutative ring, B be an A algebra, and M be a B module. Andr Quillen cohomology is the derived functors of the derivation abstract algebra derivation functor Der sub A sub B , M . Before the general definitions of Andr and Quillen, it was known for a long time that given morphisms of commutative rings nowrap A &rarr B &rarr C and a C module M , there is a three term exact sequence of derivation modules math 0 to operatorname Der B C, M to operatorname Der A C, M to operatorname Der A B, M . math This term can be extended to a six term exact sequence using the functor Exalcomm of extensions of commutative algebras and a nine term exact sequence using the Lichtenbaum Schlessinger functor s. Andr Quillen cohomology extends this exact sequence even further. In the zeroth degree, it is the module of derivations in the first degree, it is Exalcomm and in the second degree, it is the second degree Lichtenbaum Schlessinger functor. Definition Let B be an A algebra, and let M be a B module. Let P be a simplicial cofibrant A algebra resolution of B . Andr notates the q th cohomology group of B over A with coefficients in M by nowrap H sup q sup A , B , M , while Quillen notates the same group as nowrap D sup q sup B A , M . The q th Andr Quillen cohomology group is math D q B A, M H q A, B, M stackrel text def H q operatorname Der A P, M . math The q th Andr Quillen homology group is math D q B A, M H q A, B, M stackrel text def H q Omega P A otimes B M . math Let nowrap L sub B A sub denote the relative cotangent complex of B over A . Then we ... more details
Citation last1 Quillen first1 Daniel author1 link DanielQuillen title Proceedings of the International ...In mathematics, the Quillen Lichtenbaum conjecture is a conjecture relating tale cohomology to algebraic K theory introduced by harvtxt Quillen 1975 p 175 , who was inspired by earlier conjectures of harvtxt Lichtenbaum 1973 . harvtxt Kahn 1997 and harvtxt Rognes Weibel 2000 proved the Quillen Lichtenbaum conjecture at the prime 2 for some number fields. Rost and Voevodsky have announced proofs of the Bloch Kato conjecture , which implies the Quillen Lichtenbaum conjecture for all primes. Statement The conjecture in Quillen s original form states that if A is a finitely generated algebra over the integers and l is prime, then there is a spectral sequence analogous to the Atiyah Hirzebruch spectral sequence , starting at math E 2 pq H p text etale text Spec A ell 1 , Z ell q 2 , math which is understood to be 0 if q is odd and abutting to math K p q A otimes Z ell math for &minus p &minus q 1 dim A . K theory of the integers Assuming the Quillen Lichtenbaum conjecture and the Vandiver conjecture , the K groups of the integers are given by K sub n sub Z 0 if n 0 mod 8 and n 0, Z if n 0 Z Z 2 if n 1 mod 8 and n 1, Z 2 if n 1. Z c sub k sub Z 2 if n 2 mod 8 Z 8 d sub k sub if n 3 mod 8 0 if n 4 mod 8 Z if n 5 mod 8 Z c sub k sub if n 6 mod 8 Z 4 d sub k sub if n 7 mod 8 where c sub k sub d sub k sub is the Bernoulli number B sub 2 k sub k in lowest terms and n is 4 k &minus ... Daniel R. editor1 last Jannsen editor1 first Uwe editor2 last Kleiman editor2 first Steven editor3 ... Kahn title The Quillen Lichtenbaum conjecture at the prime 2 year 1997 url http www.math.uiuc.edu K ... editor1 first Eric M. editor2 last Grayson editor2 first Daniel R. title Handbook of K theory ... more details
free module, it became free. The problem remained open until 1976, when DanielQuillen and Andrei Suslin independently proved that the answer was affirmative. Quillen was awarded the Fields Medal ... French Citation last Quillen first Daniel authorlink DanielQuillen year 1976 title Projective ...for the now solved conjecture on Galois representation s Serre conjecture number theory The Quillen Suslin theorem , also known as Serre s problem or Serre s conjecture , is a theorem in commutative algebra about the relationship between free module s and projective module s over polynomial rings. It states that every finitely generated projective module over a polynomial ring is free module free . Geometrically, finitely generated projective modules correspond to vector bundle s over affine space , and free modules to trivial vector bundles. Affine space is topologically contractible, so it admits no non trivial topological vector bundles. A simple argument using the exponential sheaf sequence exponential exact sequence and the d bar Poincar lemma shows that it also admits no non trivial holomorphic vector bundles. Jean Pierre Serre , in his 1955 paper List of important publications in mathematics Faisceaux Alg briques Coh rents Faisceaux alg briques coh rents , remarked that the equivalent question was not known for algebraic vector bundles It is not known if there exist projective A modules of finite type which are not free. ref On ignore s il existe des A modules projectifs de type fini qui ne soient pas libres. Serre, FAC , p. 243. ref Here A is a polynomial ring over a field, that is, A k x sub 1 sub , ..., x sub n sub . To Serre s dismay, this problem quickly became known as Serre s conjecture. Serre wrote, I objected as often as I could to the name . ref Lam, p. 1 ref The statement is not immediately obvious from the topological and holomorphic cases, because these cases only guarantee that there is a continuous or holomorphic trivialization, not an algebraic trivialization ... more details
about the Biblical figure called Daniel Infobox saint name Saint Daniel birth date 7th Century B.C.E ... in Islam and Judaism , B. M. Wheeler, DanielDaniel is not mentioned by name in the Qur an but there are accounts ... Daniellion.jpg imagesize 300px caption Daniel s Answer to the King by Briton Rivi re death place Babylon ... by attributes Often depicted in the den of the lions patronage major shrine Tomb of Daniel , Susa , Iran suppressed date issues prayer prayer attrib Daniel Hebrew Name Daniyyel D niyy l , meaning God is my Judge is the protagonist in the Book of Daniel of the Hebrew Bible . In the narrative, when Daniel was a young man, he was taken into Babylonian captivity where he was educated ... as the Four monarchies . Some of the most famous tales of Daniel are Shadrach, Meshach, and Abednego , The writing on the wall and Daniel in the lions den . Narrative of Daniel Induction into Babylon File Daniel refuse kingsfood.jpg thumb 200px Daniel refusing to eat at the King s table, early 1900s Bible illustration In the third year of the reign of Jehoiakim BC 606 , Daniel and his friends ... Daniel 1 Daniel was given the name Belteshazzar , i.e., prince of Bel , or Bel protect the king .... ref Daniel and Nebuchadnezzar Main Daniel 2 also Nebuchadnezzar II Portrayal in the books of Daniel and Jeremiah also Book of Daniel Nebuchadnezzar or Nabonidus In the narrative of Daniel chapter 2 ... the wise men in Babylon. sup v.12 sup When Daniel discovers the King s executive order, he requests from the captain of the guard , Arioch , to see the King. sup v.13 16 sup Daniel prays for God s mercy to receive a revelation from the King s dream. sup v.15 18 sup God then reveals the mystery to Daniel in a vision that night. sup v.19 sup Daniel praises his God with a doxology . sup v.20 23 sup After meeting with Arioch again, Daniel is granted access to the king sup v.24 30 sup and relays the description of the dream, sup v.31 36 sup followed by its interpretation. sup v.37 45 sup With Daniel ... more details
Refimprove date August 2011 Infobox university name ETSU James H. Quillen College of Medicine logo image name image size image alt caption established 1978 type State school Public endowment dean Philip C. Bagnell, M.D. president Paul E. Stanton, Jr., M.D. vice president vice chancellor faculty students ... area Rural website http www.etsu.edu com The James H. Quillen College of Medicine is a medical school ... Quillen , who led the fight to open a second public medical school in Tennessee. The school was originally named the ETSU Quillen Dishner College of Medicine, but Dr. Paul Dishner s name was removed in 1989 ... H. Quillen College of Medicine at East Tennessee State University is ranked sixth in the nation for excellence ... the top 10 schools in the country for rural medicine. Additionally, Quillen College of Medicine at East ... s Best Graduate Schools for ranking 20th in the nation for family medicine education. Quillen has also been recognized by the American Academy of Family Physicians recognized Quillen as one of the top ... by a professor of health policy, Fitzhugh Mullan, ranked East Tennessee State University s James H. Quillen ... Hospitals Bristol Regional Medical Center James H. Quillen Veterans Affairs Medical Center Johnson ... school. ref Williams, p. 230 ref Other early supporters included U.S. Representative Jimmy Quillen .... Congressman Quillen claimed to have introduced an amendment, which required that any university ... funds under the Teague Cranston Act, with Quillen working with the State Board of Regents ..., Jr., http tennesseeencyclopedia.net entry.php?rec 1092 Quillen College of Medicine . Tennessee ... for the school continued to reverberate through Tennessee politics. Quillen never forgave former ... ran for a second term in 1986, Quillen saw that Dunn s Republican support in East Tennessee was weak ... www.etsu.edu com ETSU Quillen College of Medicine coord missing Tennessee DEFAULTSORT East Tennessee State University James H. Quillen College Of Medicine Category Schools of medicine in Tennessee Category ... more details
Daniel Carlsson may refer to Daniel Carlsson rally driver Daniel Carlsson swimmer hndis Carlsson, Daniel de Daniel Carlsson fr Daniel Carlsson sv Daniel Carlsson ... more details
Daniel Larsson may refer to Daniel Larsson ice hockey Daniel Larsson footballer Daniel Larsson darts player hndis Larsson, Daniel de Daniel Larsson sv Daniel Larsson ... more details
Daniel Weiss may refer to Daniel Weiss ice hockey Daniel Weiss Lafayette College Daniel Weiss figure skater hndis Weiss, Daniel de Daniel Weiss it Daniel Weiss ... more details
Daniel Levine may refer to Daniel Levine composer Daniel Levine actor Daniel Levine pilot See also Daniel Levin disambiguation hndis Levine, Daniel ... more details
Daniel Levin may refer to Daniel Levin attorney Daniel Levin writer , American attorney and novelist See also Daniel Levine disambiguation Daniel Lewin hndis Levin, Daniel ... more details
Daniel Elliot may refer to Daniel Giraud Elliot intitle Daniel Elliot intitle Daniel Elliott Daniel Eliott Dan Elliott , anchor hndis Elliot, Daniel ... more details
Daniel Waugh is the name of Daniel Waugh historian , American historian Daniel W. Waugh 1842 1921 , U.S. Representative from Indiana hndis Waugh, Daniel ... more details
Daniel Weld may refer to Daniel Weld Weld family , colonial Boston teacher Daniel S. Weld , American computer scientist hndis Weld, Daniel ... more details
Daniel Rossi can refer to Daniel Rossi fencer , a Uruguayan Olympic fencer Daniel Rossi footballer born 1981 , a Brazilian footballer hndis Rossi, Daniel ... more details
Daniel Fleming may refer to Sir Daniel Fleming, 5th Baronet c.1785 1821 of the Fleming Baronets Daniel Fleming antiquary hndis Fleming, Daniel ... more details
Daniel Massey may refer to onlyinclude Daniel Massey manufacturer 1798 1856 , farm implement manufacturer Daniel Massey actor 1933 1998 the British Canadian actor onlyinclude hndis name Massey, Daniel it Daniel Massey ... more details
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