lean2/library/algebra/category/category.md

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algebra.category
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2014-11-07 03:17:08 +00:00
Algebraic structures.
* [basic](basic.lean) : definition of fully and partially bundled categories
* [morphism](morphism.lean) : isos, retracts, sections, monos, epis
* [functor](functor.lean) : functors, category of (smaller) categories
* [natural_transformation](natural_transformation.lean)
* [constructions](constructions.lean) : constructions of basic examples and constructions of categories: opposite, type, discrete, product, functor, slice and arrow categories
The following files hardly have any content so far.
* [limit](limit.lean) : limits and colimits
* [adjoint](adjoint.lean) : adjoint functors
* [yoneda](yoneda.lean) : Yoneda embedding and Yoneda lemma