Question

Proving that a subset of a free module is a basis using category theory.

score 57 · Answer 1 · 2026-04-17 00:34:48

57

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Proving that a subset of a free module is a basis using category theory.

Published on 17 Apr 2026 - 0:34

score 139 · Answer 2 · 2026-04-13 16:35:02

139

Views

How to model averages in category theory

Published on 13 Apr 2026 - 16:35

score 49 · Answer 3 · 2026-04-15 17:37:05

49

Views

Show that a $\pi_{\leq 1}(S^1)$-module category is equipped with a natural automorphism of identity functor

Published on 15 Apr 2026 - 17:37

score 70 · Answer 4 · 2026-05-16 00:24:27

70

Views

How to prove that the exponential of an initial object by an object with global elements is iso to the initial object?

Published on 16 May 2026 - 0:24

score 75 · Answer 5 · 2026-04-12 15:25:37

75

Views

Literature on category theory/set theory

Published on 12 Apr 2026 - 15:25

score 118 · Answer 6 · 2026-05-11 08:32:39

118

Views

Natural isomorphism between the complexification of $V$ and $V^2$, when $V$ is already a complex vector space?

Published on 11 May 2026 - 8:32

score 77 · Answer 7 · 2026-04-14 07:10:08

77

Views

Relationships and differences between typology and type and category theories?

Published on 14 Apr 2026 - 7:10

score 35 · Answer 8 · 2026-05-11 05:28:42

35

Views

Understading usage of functor composed with natural transformation in CT definitions

Published on 11 May 2026 - 5:28

score 79 · Answer 9 · 2026-04-16 20:17:30

79

Views

Homology functor preserves coproduct

Published on 16 Apr 2026 - 20:17

score 81 · Answer 10 · 2026-04-14 12:01:01

81

Views

inverse system of groups over a direct product of two posets

Published on 14 Apr 2026 - 12:01

score 75 · Answer 11 · 2026-04-15 21:23:16

75

Views

What universal property does $\text{Hom}_R(-,R)$ represent?

Published on 15 Apr 2026 - 21:23

score 95 · Answer 12 · 2026-05-10 17:16:18

95

Views

Equivalent definitions of group action, isomorphism of GSet categories

Published on 10 May 2026 - 17:16

score 31 · Answer 13 · 2026-04-13 20:02:07

31

Views

Analog of simplicial sets for space gluing from arbitrary convex polyhedra

Published on 13 Apr 2026 - 20:02

score 72 · Answer 14 · 2026-04-15 05:25:40

72

Views

Is the proper class of all sets with binary operation being symmetric difference and identity being $\varnothing$ an element of $\textbf{Grp}$?

Published on 15 Apr 2026 - 5:25

score 289 · Answer 15 · 2026-05-10 20:52:08

289

Views

Prove that an epimorphism in $\text{Mod}_R$ is surjective

Published on 10 May 2026 - 20:52

List Question

Proving that a subset of a free module is a basis using category theory.

How to model averages in category theory

Show that a $\pi_{\leq 1}(S^1)$-module category is equipped with a natural automorphism of identity functor

How to prove that the exponential of an initial object by an object with global elements is iso to the initial object?

Literature on category theory/set theory

Natural isomorphism between the complexification of $V$ and $V^2$, when $V$ is already a complex vector space?

Relationships and differences between typology and type and category theories?

Understading usage of functor composed with natural transformation in CT definitions

Homology functor preserves coproduct

inverse system of groups over a direct product of two posets

What universal property does $\text{Hom}_R(-,R)$ represent?

Equivalent definitions of group action, isomorphism of GSet categories

Analog of simplicial sets for space gluing from arbitrary convex polyhedra

Is the proper class of all sets with binary operation being symmetric difference and identity being $\varnothing$ an element of $\textbf{Grp}$?

Prove that an epimorphism in $\text{Mod}_R$ is surjective

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