List questions from category-theory

Published on 10 Apr 2026 - 3:59

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What is the opposite category of $Set$?

Published on 19 Oct 2014 - 14:45

661

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Equivalence of categories is an equivalence relation

Published on 19 Oct 2014 - 16:03

48

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Forcing a functor to map to a given set

Published on 12 Apr 2026 - 15:18

388

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Why only two binary operations?

Published on 12 Apr 2026 - 7:04

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bijective homomorphisms between non isomorphic posets, example , explanation needed

Published on 11 Apr 2026 - 21:41

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Introductory example(s) of a functor that is full but not faithful

Published on 12 Apr 2026 - 0:46

95

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Are $e : 1 \rightarrow X$ and $\mathrm{id}_X : X \rightarrow X$ the only operations of $\mathsf{Grp}$ that are homomorphisms?

Published on 25 Mar 2026 - 23:11

988

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How many isomorphisms from a set to itself

Published on 10 Apr 2026 - 20:52

6.2k

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Proof that the tensor product is the coproduct in the category of R-algebras

Published on 21 Oct 2014 - 12:23

267

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What is the trivial module functor?

Published on 03 Apr 2026 - 9:19

533

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A contravariant functor taking colimits to limits is representable.

Published on 10 Apr 2026 - 16:11

590

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Epimorphism that is not surjective in the category of Torsion Free Abelian Groups

Published on 29 Mar 2026 - 8:35

146

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Does the functor that preserves limit always have a left adjoint?

Published on 12 Apr 2026 - 12:25

151

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Dual notion of the subspace topology

Published on 11 Apr 2026 - 5:11

List Question

Connection between monads and posets?

What is the opposite category of $Set$?

Equivalence of categories is an equivalence relation

Forcing a functor to map to a given set

Why only two binary operations?

bijective homomorphisms between non isomorphic posets, example , explanation needed

Introductory example(s) of a functor that is full but not faithful

Are $e : 1 \rightarrow X$ and $\mathrm{id}_X : X \rightarrow X$ the only operations of $\mathsf{Grp}$ that are homomorphisms?

How many isomorphisms from a set to itself

Proof that the tensor product is the coproduct in the category of R-algebras

What is the trivial module functor?

A contravariant functor taking colimits to limits is representable.

Epimorphism that is not surjective in the category of Torsion Free Abelian Groups

Does the functor that preserves limit always have a left adjoint?

Dual notion of the subspace topology

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