He subsequently developed the notion in considerably more detail in his 1982 monograph Basic Concepts of Enriched Category Theory.[3] Let be a monoidal category, and denote by -Cat the category of -enriched categories. Among other things, Kelly showed that -Cat has all weighted limits and colimits even when does not have all ordinary limits and colimits. He also developed the enriched counterparts of Kan extensions, density of the Yoneda embedding, and essentially algebraic theories.[citation needed]
In 1967 Kelly was appointed Professor of Pure Mathematics at the University of New South Wales.[1] In 1972 he was elected a Fellow of the Australian Academy of Science.[citation needed] He returned to the University of Sydney in 1973, serving as Professor of Mathematics until his retirement in 1992.[1] In 2001 he was awarded the Australian government's Centenary Medal. He continued to participate[dubious – discuss] in the department as professorial fellow and professor emeritus until his death at age 76 on 26 January 2007.[1]
Kelly worked on many other aspects of category theory besides enriched categories, both individually and in a number of collaborations.[citation needed] His PhD students include Ross Street.[2]
kelly, australian, rules, footballer, footballer, gregory, maxwell, kelly, june, 1930, january, 2007, australian, mathematician, worked, category, theory, gregory, maxwell, kellyborn5, june, 1930died26, january, 2007alma, materuniversity, cambridgeknown, foren. For the Australian rules footballer see Max Kelly footballer Gregory Maxwell Max Kelly 5 June 1930 26 January 2007 was an Australian mathematician who worked on category theory Gregory Maxwell KellyBorn5 June 1930Died26 January 2007Alma materUniversity of CambridgeKnown forEnriched category theoryAwardsCentenary MedalScientific careerFieldsMathematicsInstitutionsUniversity of SydneyThesisTopics in Homology Theory 1957 Doctoral advisorShaun WylieDoctoral studentsRoss StreetBiography EditKelly was born in Bondi New South Wales Australia on 5 June 1930 1 He obtained his PhD at Cambridge University in homological algebra in 1957 publishing his first paper in that area in 1959 Single space axioms for homology theory 1 2 He taught in the Pure Mathematics department at the University of Sydney from 1957 to 1966 rising from lecturer to reader 1 During 1963 1965 he was a visiting fellow at Tulane University and the University of Illinois 1 where with Samuel Eilenberg he formalized and developed the notion of an enriched category based on intuitions then in the air about making the homsets of a category just as abstract as the objects themselves citation needed He subsequently developed the notion in considerably more detail in his 1982 monograph Basic Concepts of Enriched Category Theory 3 Let V displaystyle cal V be a monoidal category and denote by V displaystyle cal V Cat the category of V displaystyle cal V enriched categories Among other things Kelly showed that V displaystyle cal V Cat has all weighted limits and colimits even when V displaystyle cal V does not have all ordinary limits and colimits He also developed the enriched counterparts of Kan extensions density of the Yoneda embedding and essentially algebraic theories citation needed In 1967 Kelly was appointed Professor of Pure Mathematics at the University of New South Wales 1 In 1972 he was elected a Fellow of the Australian Academy of Science citation needed He returned to the University of Sydney in 1973 serving as Professor of Mathematics until his retirement in 1992 1 In 2001 he was awarded the Australian government s Centenary Medal He continued to participate dubious discuss in the department as professorial fellow and professor emeritus until his death at age 76 on 26 January 2007 1 Kelly worked on many other aspects of category theory besides enriched categories both individually and in a number of collaborations citation needed His PhD students include Ross Street 2 References Edit a b c d e f g O Connor John J Robertson Edmund F Max Kelly MacTutor History of Mathematics archive University of St Andrews a b Gregory Maxwell Max Kelly at the Mathematics Genealogy Project Kelly Gregory Maxwell 1982 Basic Concepts of Enriched Category Theory Cambridge University Press ISBN 978 0 521 28702 9 External links EditMax Kelly s Perpetual Web Page a memorial page set up by Kelly s son Simon Kelly In Memory of Max Kelly a post at The n Category Cafe containing praise from his fellow mathematicians G M Kelly at DBLP Bibliography Server Retrieved from https en wikipedia org w index php title Max Kelly amp oldid 1145636085, wikipedia, wiki, book, books, library,
