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15
136
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A category is complete iff its opposite is cocomplete, formally.

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#category-theory #complete-categories #opposite-categories
82
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Why is this equality between fiber products true $A\times_A B=B$?

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#abstract-algebra #algebraic-geometry #category-theory
79
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Which (co)limits exist in the simplex category?

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#algebraic-topology #category-theory
65
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Geometric meaning of the grading of a module

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#algebraic-geometry #category-theory #vector-bundles #algebraic-groups
181
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Relationship between power object and exponential object

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#category-theory #topos-theory
57
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How do tensors work in a full subcategory of modules over a ring?

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#commutative-algebra #category-theory #modules #tensor-products #abelian-categories
56
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Graph decomposition into product

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#graph-theory #category-theory
82
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Categorical exponentiation distributes over categorical products, naturally.

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#category-theory #cartesian-closed-categories
53
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What is the right notion for morphisms between morphisms (in an $1$-category)?

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#linear-algebra #category-theory #soft-question #intuition
86
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Are (set) inclusion maps categorically definable?

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#category-theory #set-theory
80
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How are (small) categories defined using set theory?

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#elementary-set-theory #category-theory #set-theory
149
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Monoidal category with initial object

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#abstract-algebra #category-theory #monoidal-categories
120
Views

Why surjective functions is retractive? Also why injective one = the axiom of choice?

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#discrete-mathematics #category-theory #relations
116
Views

The set of linear maps between vector spaces form a vector space, and the set of abelian group homomorphisms form an abelian group - general fact?

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#abstract-algebra #reference-request #category-theory
177
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meaning of "pullback along" in the definition of pullback in category theory

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#category-theory #definition

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