This is a further development of the theory of monads and factorization systems for derivators. By work of Street, all of these fibration notions can be defined internally to an arbitrary 2-category or bicategory. This result is part of an attempt to understand more deeply the relation between some parts of set theory and some parts of abstract homotopy theory.
Kan extensions in enriched category theory
Feel free to give advices on how to improve the discussion! We end the paper with a roundup of examples, involving classical set-based and enriched and low- as well as higher-dimensional category theory. A course on 2-category theory hopefully held in Padua; there will be notes hopefully , and beer afterwards. A reading seminar at Masaryk University; each other Wednesday but the first lecture is on Monday, October 9 from 2pm to 4pm.
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After a few classical readings. A reading seminar at Masaryk University; each other Wednesday first lecture October 11 from 2pm to 4pm.
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Kan Extensions in Enriched Category Theory | Eduardo J. Dubuc | Springer
Category theory can be helpful in understanding Haskell's type system. The Haskell wikibooks has an introduction to Category theory , written specifically with Haskell programmers in mind.
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A category consists of two collections:. Ob , the objects of.
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- Kan extensions in enriched category theory.
Ar , the arrows of which are not the same as Arrows defined in GHC. Each arrow in Ar has a domain, dom , and a codomain, cod , each chosen from Ob.
About this book
Category theory at work. Basic category theory.
Category Theory Computational Category Theory. Basic Category Theory. An introduction to category theory. An Introduction to Category Theory.
Kan extensions in Enriched Category Theory
Category Theory Oxford Logic Guides. Category theory for computing science. Linear Programming: Theory and extensions.