List questions from functors

Published on 28 Dec 2020 - 19:22

240

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Equivalence between two definitions of affine algebraic set.

Published on 08 Jan 2021 - 11:45

57

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Uniqueness of Categorical Equivalences

Published on 10 Jan 2021 - 23:37

173

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Presheaves are the Free Cocompletion - Proving that the functor preserves colimits

Published on 26 Mar 2026 - 1:04

119

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The forgetful functor $U: \text{Con}(\mathcal C) \to \mathcal C$ has a left adjoint.

Published on 23 Feb 2026 - 5:10

249

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Functoriality of the $hom$-functor?

Published on 26 Jan 2021 - 17:35

57

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Intuitive understanding of a non-full functor

Published on 04 Feb 2021 - 21:23

293

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Does this functor commute with inverse limits?

Published on 26 Mar 2026 - 2:44

708

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What conditions ensure that a functor has a left / right inverse.

Published on 13 Feb 2021 - 23:28

62

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Does the assignment sending every topological space to its sheaf hom functor a functor?

Published on 15 Feb 2021 - 11:10

167

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Equivalence of $R$-linear additive categories are $R$-linear?

Published on 19 Feb 2021 - 3:04

69

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Question about the definition of faithful functors

Published on 22 Feb 2021 - 1:12

149

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Examples on why isomorphism of categories are "too restrictive"

Published on 26 Feb 2021 - 15:49

126

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Induced representations built on sections of an associated vector bundle. Questions on notations

Published on 25 Mar 2026 - 23:37

322

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Limits in functor categories

Published on 05 Mar 2021 - 19:53

List Question

Equivalence of categories preserves colimits

Equivalence between two definitions of affine algebraic set.

Uniqueness of Categorical Equivalences

Presheaves are the Free Cocompletion - Proving that the functor preserves colimits

The forgetful functor $U: \text{Con}(\mathcal C) \to \mathcal C$ has a left adjoint.

Functoriality of the $hom$-functor?

Intuitive understanding of a non-full functor

Does this functor commute with inverse limits?

What conditions ensure that a functor has a left / right inverse.

Does the assignment sending every topological space to its sheaf hom functor a functor?

Equivalence of $R$-linear additive categories are $R$-linear?

Question about the definition of faithful functors

Examples on why isomorphism of categories are "too restrictive"

Induced representations built on sections of an associated vector bundle. Questions on notations

Limits in functor categories

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