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15
516
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Questions regarding the category of $R$-algebras

Published on
#ring-theory #commutative-algebra #category-theory
44
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Making sense of ($f$ being monic $\Leftrightarrow f_*$ injective) in non-locally small categories

Published on
#category-theory
468
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What is exponentiation in the slice category?

Published on
#category-theory #exponentiation #slice-category
65
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Equalizer of character arrows in a topos

Published on
#logic #category-theory #lattice-orders #topos-theory
56
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Is the fibre-product functor $(-)\times_N M$ exact?

Published on
#commutative-algebra #category-theory #modules #exact-sequence #abelian-categories
75
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If two pullbacks generate the same motphisms are they the same?

Published on
#category-theory #pullback
424
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Naturality of the ker-coker sequence of snake lemma in an abelian category

Published on
#category-theory #homological-algebra #abelian-categories #diagram-chasing
153
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Pronouncing the symbol $!$ as understood as a morphism in category theory.

Published on
#category-theory #terminology #convention #pronunciation
110
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Inductive definition of $\infty$-category

Published on
#category-theory #homotopy-theory #higher-category-theory
145
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Kan extensions and satellite functors

Published on
#category-theory #homological-algebra #derived-functors #derived-categories
140
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Computing the truth values in $\mathbf{Set}^2$.

Published on
#category-theory #topos-theory
87
Views

Creation of limits and diagram chasing

Published on
#category-theory #limits-colimits #monads #diagram-chasing
219
Views

Is an equalizer really a special case of a limit?

Published on
#category-theory #limits-colimits #functors
200
Views

Why is the set of partial maps a set?

Published on
#category-theory #set-theory #definition
80
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Dualizing 2-categorical results in the context of locally small categories

Published on
#category-theory #duality-theorems #adjoint-functors #monads #2-categories

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