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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There will be cookies! Lambda calculus : Alpha conversion - Beta reduction Eta conversion - Lambda abstraction.

## 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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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.