List questions from category-theory

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Module Categories and Cocontinuity of Hom

Published on 24 Apr 2026 - 1:46

356

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Kan exquestions

Published on 12 Apr 2026 - 19:38

274

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Prove a certain homomorphism in the category of rings is an epimorphism

Published on 16 Apr 2026 - 9:55

1.1k

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Left adjoint to inverse image of sheaves

Published on 16 Apr 2026 - 12:27

125

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Assume, for $n \ge 1$, that $H_i(S^n)= Z$ if $i = 0, n$ and that $H_i(S^n) = 0$ otherwise. Prove that the equator of the $n$-sphere is not a retract.

Published on 15 Apr 2026 - 19:54

185

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Soft question on notation regarding partial bijections

Published on 09 Apr 2026 - 7:54

46

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normal epimorphisms

Published on 11 Apr 2026 - 3:29

764

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Two Categories mod-$R$ and mod-$M_n(R)$

Published on 24 Apr 2026 - 3:03

120

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Condition for monos out of an initial object to be isos.

Published on 12 Apr 2026 - 18:03

60

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Characterisation of $\mathbf{Hom}(C,F)$

Published on 11 May 2026 - 0:43

549

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What's the multiplication in the continuation monad?

Published on 11 May 2026 - 7:43

142

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Internal functors and C-objects

Published on 12 Apr 2026 - 10:37

610

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Is category theory "conceptual"?

Published on 13 Apr 2026 - 8:12

59

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In categories with zero objects: completeness $\Leftrightarrow$ cocompleteness?

Published on 27 Apr 2026 - 23:41

List Question

What is an example showing the failure of the functoriality of the cone construction?

Module Categories and Cocontinuity of Hom

Kan exquestions

Prove a certain homomorphism in the category of rings is an epimorphism

Left adjoint to inverse image of sheaves

Assume, for $n \ge 1$, that $H_i(S^n)= Z$ if $i = 0, n$ and that $H_i(S^n) = 0$ otherwise. Prove that the equator of the $n$-sphere is not a retract.

Soft question on notation regarding partial bijections

normal epimorphisms

Two Categories mod-$R$ and mod-$M_n(R)$

Condition for monos out of an initial object to be isos.

Characterisation of $\mathbf{Hom}(C,F)$

What's the multiplication in the continuation monad?

Internal functors and C-objects

Is category theory "conceptual"?

In categories with zero objects: completeness $\Leftrightarrow$ cocompleteness?

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