List questions from functors

Published on 24 Jul 2019 - 11:12

431

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The free completion of a category under sifted colimits

Published on 25 Mar 2026 - 14:25

337

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Must 2 Tensor Product Functors be Naturally Isomorphic?

Published on 25 Mar 2026 - 15:58

416

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Exercise 1.1.2, Weibel

Published on 10 Aug 2019 - 10:27

163

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modification of $2$ natural transformations

Published on 25 Mar 2026 - 7:40

262

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Does Isomorphism $\Rightarrow$ Bijective hold in every concrete category?

Published on 19 Aug 2019 - 1:49

113

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Bijection between $\textbf{Cat}(A \times B, C)$ and $\textbf{Cat}(A, C^B)$: Mac Lane Exercise 1 Chapter II section 5

Published on 25 Mar 2026 - 10:55

15

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how is the target of $\text{tor}_n^R(A,\ )$ related to $\mathbf{Ab}$?

Published on 06 Mar 2026 - 5:27

167

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First Isomorphism Theorem/use

Published on 25 Mar 2026 - 9:33

106

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Isn't "diagram" a misnomer in regards to the standard definition of being a functor $D : J \to C$?

Published on 25 Mar 2026 - 4:44

528

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Formation of the free group on $S$ is a functor

Published on 03 Sep 2019 - 1:35

23

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How to map arrows with free group functor from Set to Grp

Published on 06 Sep 2019 - 9:58

184

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Does the mate correspondence $\mathrm{Nat}(F'K, LF) ≅ \mathrm{Nat}(KG, G'L)$ for adjoint functors preserve inverses?

Published on 25 Mar 2026 - 11:21

329

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What does it mean for a mapping to be functorial in this given context?

Published on 20 Sep 2019 - 21:31

125

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No quasi-isomorphism

Published on 24 Sep 2019 - 0:37

List Question

Possible similarities between a category and its category of endofunctors

The free completion of a category under sifted colimits

Must 2 Tensor Product Functors be Naturally Isomorphic?

Exercise 1.1.2, Weibel

modification of $2$ natural transformations

Does Isomorphism $\Rightarrow$ Bijective hold in every concrete category?

Bijection between $\textbf{Cat}(A \times B, C)$ and $\textbf{Cat}(A, C^B)$: Mac Lane Exercise 1 Chapter II section 5

how is the target of $\text{tor}_n^R(A,\ )$ related to $\mathbf{Ab}$?

First Isomorphism Theorem/use

Isn't "diagram" a misnomer in regards to the standard definition of being a functor $D : J \to C$?

Formation of the free group on $S$ is a functor

How to map arrows with free group functor from Set to Grp

Does the mate correspondence $\mathrm{Nat}(F'K, LF) ≅ \mathrm{Nat}(KG, G'L)$ for adjoint functors preserve inverses?

What does it mean for a mapping to be functorial in this given context?

No quasi-isomorphism

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