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When the canonical comparison of the pushout induced by X(A,-) is injective?

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#category-theory
346
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Interpreting Category axioms in Set Theory

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#category-theory #set-theory
109
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What categories are described by relational programming languages?

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#category-theory #relations #lambda-calculus
1.1k
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Let $R$ be a Noetherian Ring, then the category of $R$-modules has enough injectives

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#category-theory #modules #homological-algebra #injective-module
112
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When is the coinduction functor faithful?

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#abstract-algebra #ring-theory #category-theory
279
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Why are the monoid objects in Mon(C) the commutative monoids?

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#category-theory #monoidal-categories
164
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Is this a natural transformation?

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#linear-algebra #category-theory
379
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Origin of double cosets and Mackey formula as Beck-Chevalley condition

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#group-theory #reference-request #category-theory #representation-theory #homotopy-theory
303
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Locally finitely presented category

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#category-theory #limits-colimits #locally-presentable-categories
452
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Two equivalent definitions of weak equivalences of simplicial sets

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#algebraic-topology #category-theory #simplicial-stuff #model-categories
214
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Grothendieck construction for functors to the category of relations

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#category-theory #grothendieck-construction
521
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Understanding the Definition of Free Object.

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#group-theory #category-theory #free-groups
944
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Compact generators in a triangulated category and how they relate to general generators

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#category-theory #homological-algebra #abelian-categories #triangulated-categories
139
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(non)Functor examples

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#category-theory #examples-counterexamples #functors
1.2k
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Grothendieck's Galois theory: fundamental theorem

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#category-theory #galois-theory #group-actions

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