slice and comma categories 1

slice and comma categories 1

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slice and comma categories 1

Description: definition of slice categories c/x and x/c, products in c/x as pullbacks in c...

Tags: category functor slice comma produce pullback

Views: 421 / Time: 583 Seconds

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Total videos: 45

	Slice and comma categories 1... definition of slice categories c/x and x/c, products in c/x as pullbacks in c ... Tags: category functor slice comma produce pullback Views: 421 / Time: 583 Seconds
	Metric spaces and enriched categories 2... the definition of a generalized metric space as an enriched category. the definition of a metric map as an enriched functor. ... Tags: metric space enriched category v-functor Views: 1378 / Time: 624 Seconds
	String diagrams 1... a first look at the diagram notation for representing categories, functors and natural transformations. ... Tags: category functor natural transformation diagram Views: 2867 / Time: 593 Seconds
	Distributive laws 3 and/or Monads 6 29... we introduce the idea of monads in a general 2-category c where putting c = cat gives the usual notion of monad on a category, and define the 2-category mndc of monads, monad functors and monad transf ... Tags: category functor natural transformation monad Views: 628 / Time: 565 Seconds
	Monads 1... an introduction to monads including the definition and a look at the monoid monad. ... Tags: category functor monad monoid Views: 14769 / Time: 545 Seconds
	Adjunctions 1... the notion of an adjunction. definition via unit and counit natural transformations and the triangle idenies. ... Tags: functor category adjunction Views: 3316 / Time: 561 Seconds
	Monads 2... continuation of the monoid monad example and introduction of the category monad. ... Tags: category functor monad monoid Views: 4494 / Time: 492 Seconds
	Natural transformations 1... the definition of natural transformations. an ogy with homotopy. ... Tags: category functor natural transformation Views: 2718 / Time: 576 Seconds
	Monads 4... morphisms between algebras and the category of algebras. a first look at the question of monadicity. ... Tags: functor category monad monoid algebra Views: 2230 / Time: 557 Seconds
	Natural transformations 2... more on natural transformations: vertical and horizontal composition. ... Tags: category functor natural transformation Views: 1919 / Time: 596 Seconds
	2-categories 2... the middle four interchange law in a 2-category comes from functoriality of the composition functor. ... Tags: categories functors 2-categories interchange Views: 547 / Time: 284 Seconds
	Monads 3A... an appendix to monads 3: more on monoids as algebras for the monoid monad. ... Tags: functor category monad monoid algebra Views: 2519 / Time: 259 Seconds
	String diagrams 2... the interchange law and whiskering. the last dull bits before getting onto adjunctions. apologies for the drastic editing at the end. ... Tags: category functor natural transformation diagram Views: 1178 / Time: 235 Seconds
	String diagrams 3... the definition of adjunctions in diagram language - the snake/zig-zag relation. ... Tags: functor category diagram adjunction Views: 977 / Time: 580 Seconds
	Slice and comma categories 2... definition of comma categories d over and under f for a functor f, and f over and under g for functors f and g with the same target category ... Tags: category functor slice comma produce pullback Views: 255 / Time: 556 Seconds

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