Question

Why do symmetric monoidal structures have such a confusing name?

score 58 · Answer 1 · 2026-04-13 12:31:40

58

Views

Why do symmetric monoidal structures have such a confusing name?

Published on 13 Apr 2026 - 12:31

score 50 · Answer 2 · 2023-03-23 01:38:43

50

Views

Construction of the monoidal structure on Set

Published on 23 Mar 2023 - 1:38

score 139 · Answer 3 · 2026-04-10 21:11:58

139

Views

How is the boundary map $\partial: H_n(X, A) \to H_{n-1}(A, \emptyset)$ a natural transformation?

Published on 10 Apr 2026 - 21:11

score 74 · Answer 4 · 2026-04-16 12:30:59

74

Views

Let $M_1, \dots, M_n$ be $A$-modules. Describe an isomorphism $S^{-1}(M_1 \times \dots \times M_n) \to S^{-1}(M_1) \times \dots \times S^{-1}(M_n).$

Published on 16 Apr 2026 - 12:30

score 37 · Answer 5 · 2026-04-16 10:55:48

37

Views

category theoretic rephrasing of fact about equivalence relation preserving maps

Published on 16 Apr 2026 - 10:55

score 69 · Answer 6 · 2026-04-12 19:41:56

69

Views

Let $f:A\to B$ and $g:B \to A$ be monomorphisms. When is $A$ isomorphic to $B$?

Published on 12 Apr 2026 - 19:41

score 58 · Answer 7 · 2026-04-08 16:12:11

58

Views

Mechanical method to solve trivial diagram chasing problem?

Published on 08 Apr 2026 - 16:12

score 185 · Answer 8 · 2026-04-14 09:01:30

185

Views

Can ALL necessary conditions, except sufficient ones, for a proposition constitute its sufficient condition?

Published on 14 Apr 2026 - 9:01

score 56 · Answer 9 · 2026-04-11 23:18:20

56

Views

Why there is a map between $X$ and $Y$ in the definition of limit but not between them in the product definition?

Published on 11 Apr 2026 - 23:18

score 417 · Answer 10 · 2026-04-15 14:26:09

417

Views

Limits and colimits in the category of presheaves

Published on 15 Apr 2026 - 14:26

score 48 · Answer 11 · 2026-05-11 08:41:08

48

Views

Topological analogue to natural transformation? (in the same way that natural isomorphisms are categorical homotopies)

Published on 11 May 2026 - 8:41

score 81 · Answer 12 · 2026-04-22 01:13:25

81

Views

Question about the definition for zero morphism?

Published on 22 Apr 2026 - 1:13

score 85 · Answer 13 · 2026-04-15 06:32:29

85

Views

Prove that a "representable functor" is indeed a functor

Published on 15 Apr 2026 - 6:32

score 109 · Answer 14 · 2026-05-10 19:07:25

109

Views

Epimorphism in simplex category is split

Published on 10 May 2026 - 19:07

score 81 · Answer 15 · 2026-04-11 13:04:18

81

Views

Clarification needed for the definition of Pushout and Pushout diagram from definition of Pullback and Pullback diagram

Published on 11 Apr 2026 - 13:04

List Question

Why do symmetric monoidal structures have such a confusing name?

Construction of the monoidal structure on Set

How is the boundary map $\partial: H_n(X, A) \to H_{n-1}(A, \emptyset)$ a natural transformation?

Let $M_1, \dots, M_n$ be $A$-modules. Describe an isomorphism $S^{-1}(M_1 \times \dots \times M_n) \to S^{-1}(M_1) \times \dots \times S^{-1}(M_n).$

category theoretic rephrasing of fact about equivalence relation preserving maps

Let $f:A\to B$ and $g:B \to A$ be monomorphisms. When is $A$ isomorphic to $B$?

Mechanical method to solve trivial diagram chasing problem?

Can ALL necessary conditions, except sufficient ones, for a proposition constitute its sufficient condition?

Why there is a map between $X$ and $Y$ in the definition of limit but not between them in the product definition?

Limits and colimits in the category of presheaves

Topological analogue to natural transformation? (in the same way that natural isomorphisms are categorical homotopies)

Question about the definition for zero morphism?

Prove that a "representable functor" is indeed a functor

Epimorphism in simplex category is split

Clarification needed for the definition of Pushout and Pushout diagram from definition of Pullback and Pullback diagram

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