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- Daniel_Kan abstract "Daniel Marinus Kan (or simply Dan Kan) (August 4, 1927 – August 4, 2013) was a Dutch mathematician working in homotopy theory. He was a prolific contributor to the field for the last six decades, having authored or coauthored several dozen research papers and monographs. The general theme of his career has been abstract homotopy theory.He was an emeritus professor at MIT, where he has taught since the early 1960s. He received his Ph.D. at Hebrew University in 1955, under the direction of Samuel Eilenberg. His students include Aldridge K. Bousfield, William Dwyer, Stewart Priddy, and Jeffrey H. Smith.He played a role in the beginnings of modern homotopy theory perhaps analogous to that of Saunders Mac Lane in homological algebra, namely the adroit and persistent application of categorical methods. His most famous work is the abstract formulation of the discovery of adjoint functors, which dates from 1958. The Kan extension is one of the broadest descriptions of a useful general class of adjunctions.He has also made contributions to the theory of simplicial sets and simplicial methods in topology in general: fibrations in the usual closed model category structure on the category of simplicial sets are known as Kan fibrations, and the fibrant objects are known as Kan complexes.Some of Kan's more recent work concerns model categories and other homotopical categories. Especially noteworthy is his work with Bousfield on completions and homotopy limits and his work with Dwyer on simplicial localizations of relative categories.".
- Daniel_Kan almaMater Hebrew_University_of_Jerusalem.
- Daniel_Kan birthDate "1927-08-04".
- Daniel_Kan birthYear "1927".
- Daniel_Kan deathDate "2013-08-04".
- Daniel_Kan deathYear "2013".
- Daniel_Kan doctoralAdvisor Samuel_Eilenberg.
- Daniel_Kan doctoralStudent Jeffrey_H._Smith.
- Daniel_Kan field Mathematics.
- Daniel_Kan nationality Netherlands.
- Daniel_Kan thumbnail Daniel_Kan.JPG?width=300.
- Daniel_Kan viafId "544808".
- Daniel_Kan wikiPageID "2290155".
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- Daniel_Kan almaMater Hebrew_University_of_Jerusalem.
- Daniel_Kan birthDate "1927-08-04".
- Daniel_Kan birthPlace "Amsterdam, Netherlands".
- Daniel_Kan caption "Daniel Kan at his home.".
- Daniel_Kan dateOfBirth "1927-08-04".
- Daniel_Kan dateOfDeath "2013-08-04".
- Daniel_Kan deathDate "2013-08-04".
- Daniel_Kan doctoralAdvisor Samuel_Eilenberg.
- Daniel_Kan doctoralStudents Jeffrey_H._Smith.
- Daniel_Kan fields Mathematics.
- Daniel_Kan hasPhotoCollection Daniel_Kan.
- Daniel_Kan name "Daniel Kan".
- Daniel_Kan name "Kan, Daniel".
- Daniel_Kan nationality Netherlands.
- Daniel_Kan shortDescription "Israeli mathematician".
- Daniel_Kan workplaces Massachusetts_Institute_of_Technology.
- Daniel_Kan description "Israeli mathematician".
- Daniel_Kan description "Israeli mathematician".
- Daniel_Kan subject Category:1927_births.
- Daniel_Kan subject Category:2013_deaths.
- Daniel_Kan subject Category:20th-century_mathematicians.
- Daniel_Kan subject Category:Hebrew_University_of_Jerusalem_alumni.
- Daniel_Kan subject Category:Israeli_expatriates_in_the_United_States.
- Daniel_Kan subject Category:Israeli_mathematicians.
- Daniel_Kan subject Category:Massachusetts_Institute_of_Technology.
- Daniel_Kan subject Category:Massachusetts_Institute_of_Technology_faculty.
- Daniel_Kan subject Category:Topologists.
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- Daniel_Kan comment "Daniel Marinus Kan (or simply Dan Kan) (August 4, 1927 – August 4, 2013) was a Dutch mathematician working in homotopy theory. He was a prolific contributor to the field for the last six decades, having authored or coauthored several dozen research papers and monographs. The general theme of his career has been abstract homotopy theory.He was an emeritus professor at MIT, where he has taught since the early 1960s. He received his Ph.D.".
- Daniel_Kan label "Daniel Kan".
- Daniel_Kan label "Daniel Marinus Kan".
- Daniel_Kan label "ダニエル・カン".
- Daniel_Kan label "丹尼尔·阚".
- Daniel_Kan sameAs Daniel_Marinus_Kan.
- Daniel_Kan sameAs ダニエル・カン.
- Daniel_Kan sameAs m.0717g_.
- Daniel_Kan sameAs Q284616.
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- Daniel_Kan sameAs Daniel_Kan.
- Daniel_Kan wasDerivedFrom Daniel_Kan?oldid=594852994.
- Daniel_Kan depiction Daniel_Kan.JPG.
- Daniel_Kan givenName "Daniel".
- Daniel_Kan isPrimaryTopicOf Daniel_Kan.
- Daniel_Kan name "Daniel Kan".
- Daniel_Kan name "Kan, Daniel".
- Daniel_Kan surname "Kan".
