List questions from functors

Published on 20 Nov 2020 - 10:55

602

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Can the map sending a presentation to its group be considered as a functor?

Published on 27 Mar 2026 - 7:20

322

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Faithful functor preserves monics

Published on 22 Nov 2020 - 11:14

88

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Problem book on functors and category theory?

Published on 25 Nov 2020 - 1:06

77

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Natural transformation $\mathbb{A}^n \setminus \{ 0 \} \to X$.

Published on 25 Mar 2026 - 18:49

153

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Sheaf morphism whose cokernel is not a sheaf

Published on 25 Nov 2020 - 10:50

174

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Exponentials in the category of graphs?

Published on 27 Mar 2026 - 2:31

316

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Local systems and Monodromy representation functor

Published on 25 Mar 2026 - 9:31

235

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Why aren't the homotopy group functors a generalized homology theory?

Published on 29 Nov 2020 - 18:43

329

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Eilenberg-Watt's theorem reference.

Published on 06 Dec 2020 - 22:09

70

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Composition structure on ${\bf Fun}$

Published on 25 Mar 2026 - 18:43

172

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What is a non-artificial example of a bifunctor that is contravariant in both arguments?

Published on 12 Dec 2020 - 4:33

137

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Morphisms of locally ringed spaces and functors of points

Published on 26 Mar 2026 - 21:25

437

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'Contravariance has more mathematical structure in it whereas covariance is more geometrical and easy to understand.' Is it a serious claim?

Published on 18 Dec 2020 - 6:12

78

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Exact functor and chain complexes

Published on 22 Dec 2020 - 11:39

List Question

Construct an abelianisation of category of ring

Can the map sending a presentation to its group be considered as a functor?

Faithful functor preserves monics

Problem book on functors and category theory?

Natural transformation $\mathbb{A}^n \setminus \{ 0 \} \to X$.

Sheaf morphism whose cokernel is not a sheaf

Exponentials in the category of graphs?

Local systems and Monodromy representation functor

Why aren't the homotopy group functors a generalized homology theory?

Eilenberg-Watt's theorem reference.

Composition structure on ${\bf Fun}$

What is a non-artificial example of a bifunctor that is contravariant in both arguments?

Morphisms of locally ringed spaces and functors of points

'Contravariance has more mathematical structure in it whereas covariance is more geometrical and easy to understand.' Is it a serious claim?

Exact functor and chain complexes

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