G. M. Kelly

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G. M. Kelly is a mathematician known for contributions to category theory, particularly in areas such as enriched categories and coherence, and for influential work often done in collaboration with Peter Freyd.

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G. M. Kelly canonical 1

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Predicate Object
instanceOf mathematician
person
activeIn 20th-century mathematics
affiliation School of Mathematics and Statistics, University of Sydney
areaOfActivity categorical algebra
higher category theory
authorOf Basic Concepts of Enriched Category Theory
collaboratedWith Max Kelly
Peter Freyd
Ross Street
contributedTo coherence theorems in category theory
theory of enriched colimits
theory of enriched limits
countryOfCitizenship Australia
employer University of Sydney
fieldOfWork category theory
coherence in category theory
enriched category theory
genre mathematical exposition
mathematical research
hasConceptNamedAfter Kelly enrichment
Kelly’s doctrinal adjunction
hasPublication A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
Basic Concepts of Enriched Category Theory
Doctrinal adjunction
Many-variable functorial calculus I
Structures defined by finite limits in the enriched context
hasPublicationType monographs
research articles
survey articles
influenced Australian school of category theory
development of enriched category theory
research in categorical algebra
knownFor clear expository style in category theory
systematic development of enriched categories
language English
notableFor contributions to categorical foundations
work on coherence in category theory
work on enriched categories
notableStudent Ross Street
occupation university professor
researchInterest 2-categories
adjoint functors
enriched limits and colimits
monoidal categories

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Peter Freyd coAuthor G. M. Kelly