List questions from natural-transformations

Published on 20 Jan 2019 - 11:52

213

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Can natural transformations be viewed as functors between images of functors?

Published on 08 Feb 2019 - 3:52

409

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Is the identity functor naturally isomorphic to a covariant dual functor?

Published on 19 Feb 2019 - 14:29

452

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Is a natural transformation uniquely determined by a single morphism?

Published on 19 Feb 2019 - 19:53

204

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Algebra operations as natural transformations

Published on 18 Mar 2019 - 10:54

163

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$A\times B \cong B\times A$ in a category $\mathbb{C}$

Published on 24 Mar 2026 - 3:01

82

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Proving naturality after determining a collection of isomorphisms.

Published on 12 Apr 2019 - 17:35

1.1k

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Basic application of category theory to data science

Published on 23 Mar 2026 - 18:44

488

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what is the Laplace transform of exponential function of dependent variable?

Published on 01 May 2019 - 13:24

62

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$G/\mbox{Ker}\:\phi\cong H$ is a natural transformation?

Published on 27 May 2019 - 15:07

1.1k

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Isomorphism of hom sets implies objects are isomorphic

Published on 28 May 2019 - 12:40

187

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Naturality of an exact sequence

Published on 03 Jun 2019 - 11:06

211

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What structure do natural isomorphisms preserve?

Published on 12 Jun 2019 - 2:21

147

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Natural transformation between functors $\mathbf {CRing}\to\mathbf{Mon}$

Published on 22 Jun 2019 - 19:20

70

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Splitting induces isomorphisms

Published on 27 Jun 2019 - 1:23

List Question

Can I define a functor F and a "ΔF" of sorts, which will uniquely determine a new functor?

Can natural transformations be viewed as functors between images of functors?

Is the identity functor naturally isomorphic to a covariant dual functor?

Is a natural transformation uniquely determined by a single morphism?

Algebra operations as natural transformations

$A\times B \cong B\times A$ in a category $\mathbb{C}$

Proving naturality after determining a collection of isomorphisms.

Basic application of category theory to data science

what is the Laplace transform of exponential function of dependent variable?

$G/\mbox{Ker}\:\phi\cong H$ is a natural transformation?

Isomorphism of hom sets implies objects are isomorphic

Naturality of an exact sequence

What structure do natural isomorphisms preserve?

Natural transformation between functors $\mathbf {CRing}\to\mathbf{Mon}$

Splitting induces isomorphisms

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