List questions from category-theory

Published on 20 Jun 2014 - 5:02

487

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Prove that the product satisfies the universal property for coproducts in Ab.

Published on 20 Jun 2014 - 16:27

313

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Verifying a Construction Satisfies the $\Omega$-axiom.

Published on 28 Mar 2026 - 8:10

338

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Soft sheaves adapted to $f_!$

Published on 28 Mar 2026 - 6:48

563

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Abstract proof that internal hom presheaf is a sheaf

Published on 25 Mar 2026 - 9:26

1.2k

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What kind of object is the kernel of a ring homomorphism?

Published on 25 Mar 2026 - 20:15

72

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A term for category where every loop of morphisms is an identity

Published on 22 Jun 2014 - 20:47

3.5k

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Adjoint Functor Theorem

Published on 25 Mar 2026 - 12:47

291

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Epic-monic factorisation in $\mathbf{Set}$.

Published on 29 Mar 2026 - 16:01

250

Views

Profinite completion of a partial order

Published on 29 Mar 2026 - 14:57

343

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What does "coproduct of $\Bbb{Z}*\Bbb{Z}$ of $\Bbb{Z}$ by itself" mean?

Published on 23 Jun 2014 - 19:04

322

Views

Is there such a thing as 'overtification' (dual to compactification)?

Published on 25 Mar 2026 - 22:10

198

Views

Epimorphism in Category

Published on 05 Apr 2026 - 13:10

651

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Question on Category Theory injective morphism

Published on 24 Jun 2014 - 9:55

113

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Showing $f:a\to b$ is epic iff there exists some iso $g: f(a)\cong b$ with $g\circ f^*=f$.

Published on 28 Mar 2026 - 6:41

List Question

Explain why there is a unique morphism $(\phi\times\phi):G\times G\to H\times H$.

Prove that the product satisfies the universal property for coproducts in Ab.

Verifying a Construction Satisfies the $\Omega$-axiom.

Soft sheaves adapted to $f_!$

Abstract proof that internal hom presheaf is a sheaf

What kind of object is the kernel of a ring homomorphism?

A term for category where every loop of morphisms is an identity

Adjoint Functor Theorem

Epic-monic factorisation in $\mathbf{Set}$.

Profinite completion of a partial order

What does "coproduct of $\Bbb{Z}*\Bbb{Z}$ of $\Bbb{Z}$ by itself" mean?

Is there such a thing as 'overtification' (dual to compactification)?

Epimorphism in Category

Question on Category Theory injective morphism

Showing $f:a\to b$ is epic iff there exists some iso $g: f(a)\cong b$ with $g\circ f^*=f$.

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