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15
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Proof of idempotent from retractions

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#category-theory
55
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Questions about how to draw compositional arrow diagram in the axiom for groups and also about angle bracket diagram.

Published on
#group-theory #category-theory #notation #definition
63
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Essentially small categories and skeletal categories

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#category-theory
75
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Normalizer as a functor/monad

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#group-theory #category-theory #monads
125
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What does the connection to topology provide to topoi?

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#category-theory #topos-theory
94
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Categorical argument for the exactness of a diagram

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#category-theory #exact-sequence #diagram-chasing
64
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Inverse of composition is composition of inverses among isomorphisms

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#category-theory
95
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Understanding contravariant functors and their notation

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#category-theory #soft-question
48
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Associativity as a strong axiom (morphisms)

Published on
#category-theory #morphism
86
Views

Proof of Uniqueness of Free Group

Published on
#group-theory #category-theory #free-groups #geometric-group-theory #combinatorial-group-theory
123
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If two morphisms are isomorphic as sets in a category, then are they isomorphic as objects in the arrow category?

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#category-theory
226
Views

Zero object in additive category

Published on
#category-theory #additive-categories
161
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Why is the category of posets defined as it is?

Published on
#category-theory #order-theory
137
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Singleton map is always monic

Published on
#category-theory #topos-theory
135
Views

Question about the concept of limits/colimits

Published on
#category-theory #limits-colimits

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