Question

The universal property of the direct product of groups is a particular case of the universal property of the product in a category?

score 237 · Answer 1 · 2021-04-05 17:42:52

237

Views

The universal property of the direct product of groups is a particular case of the universal property of the product in a category?

Published on 05 Apr 2021 - 17:42

score 279 · Answer 2 · 2021-04-13 07:24:16

279

Views

Proving continuity of a map from $D^2$ onto $S^2.$

Published on 13 Apr 2021 - 7:24

score 59 · Answer 3 · 2021-04-13 15:05:25

59

Views

Showing that ring generated by a subset is isomorphic to a quotient ring

Published on 13 Apr 2021 - 15:05

score 138 · Answer 4 · 2026-03-25 09:38:04

138

Views

Universal property of the codomain fibration

Published on 25 Mar 2026 - 9:38

score 83 · Answer 5 · 2021-04-24 21:47:02

83

Views

Tensor algebra $T(A \oplus B)$ is a coproduct of $T(A)$ and $T(B)$ in the category of unitary associative $(R, R)$-algebras.

Published on 24 Apr 2021 - 21:47

score 63 · Answer 6 · 2026-03-27 02:26:58

63

Views

Quotient of a free group on a set

Published on 27 Mar 2026 - 2:26

score 108 · Answer 7 · 2021-05-06 14:46:33

108

Views

Are universal Turing machines universal in the sense of category theory?

Published on 06 May 2021 - 14:46

score 183 · Answer 8 · 2021-05-11 20:53:45

183

Views

If $W \cong U \otimes V$, then what is $W$'s bilinear map?

Published on 11 May 2021 - 20:53

score 38 · Answer 9 · 2026-03-26 15:03:20

38

Views

How does the universal property of the classifying category and generic algebra characterize them up to equivalence and isomorphism respectively?

Published on 26 Mar 2026 - 15:03

score 212 · Answer 10 · 2021-06-05 14:46:49

212

Views

Are Cauchy sequences natural?

Published on 05 Jun 2021 - 14:46

score 46 · Answer 11 · 2021-06-06 09:47:37

46

Views

Tensor product of quotient algebras $(S/I) \otimes T = (S\otimes T)/[(I \otimes 1)( S\otimes T)]$

Published on 06 Jun 2021 - 9:47

score 53 · Answer 12 · 2021-06-09 09:39:48

53

Views

Universal arrow example which doesn't come as an adjoint pair?

Published on 09 Jun 2021 - 9:39

score 133 · Answer 13 · 2021-06-18 09:39:55

133

Views

What is the universal property of the following tensor product topology

Published on 18 Jun 2021 - 9:39

score 107 · Answer 14 · 2026-02-23 10:03:23

107

Views

Johnstone's Topos Theory, Lemma 0.17 - the lower-right square is a pushout, proof help.

Published on 23 Feb 2026 - 10:03

score 51 · Answer 15 · 2026-03-26 07:59:25

51

Views

Amalgamated Product, $G_1*_HG_2$ is surjective $\iff$ $G = \langle G_1\coprod G_2\rangle$

Published on 26 Mar 2026 - 7:59

List Question

The universal property of the direct product of groups is a particular case of the universal property of the product in a category?

Proving continuity of a map from $D^2$ onto $S^2.$

Showing that ring generated by a subset is isomorphic to a quotient ring

Universal property of the codomain fibration

Tensor algebra $T(A \oplus B)$ is a coproduct of $T(A)$ and $T(B)$ in the category of unitary associative $(R, R)$-algebras.

Quotient of a free group on a set

Are universal Turing machines universal in the sense of category theory?

If $W \cong U \otimes V$, then what is $W$'s bilinear map?

How does the universal property of the classifying category and generic algebra characterize them up to equivalence and isomorphism respectively?

Are Cauchy sequences natural?

Tensor product of quotient algebras $(S/I) \otimes T = (S\otimes T)/[(I \otimes 1)( S\otimes T)]$

Universal arrow example which doesn't come as an adjoint pair?

What is the universal property of the following tensor product topology

Johnstone's Topos Theory, Lemma 0.17 - the lower-right square is a pushout, proof help.

Amalgamated Product, $G_1*_HG_2$ is surjective $\iff$ $G = \langle G_1\coprod G_2\rangle$

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