Question

For which categories do coproducts preserve monomorphisms and products preserve epimorphisms?

score 197 · Answer 1 · 2026-04-13 20:17:44

197

Views

For which categories do coproducts preserve monomorphisms and products preserve epimorphisms?

Published on 13 Apr 2026 - 20:17

score 86 · Answer 2 · 2026-05-11 05:07:46

86

Views

Extension of a homomorphism from $(H \leq G) \xrightarrow{\varphi} X$ to $G \xrightarrow{\psi}X$ -- Is this a correct diagram?

Published on 11 May 2026 - 5:07

score 114 · Answer 3 · 2026-04-24 09:43:12

114

Views

Questions about how to construct Free Metric Space?

Published on 24 Apr 2026 - 9:43

score 106 · Answer 4 · 2026-04-24 09:43:52

106

Views

Motivation for the definition of kernel pair and cokernel pair.

Published on 24 Apr 2026 - 9:43

score 29 · Answer 5 · 2026-05-11 09:04:13

29

Views

What is implied by the handling of multisets by N-modules?

Published on 11 May 2026 - 9:04

score 88 · Answer 6 · 2026-04-24 09:44:34

88

Views

Definition of category: composition of incompatible morphisms

Published on 24 Apr 2026 - 9:44

score 105 · Answer 7 · 2026-05-11 06:20:00

105

Views

Not understanding concretely the Wikipedia or text definition of "Subobject classifier"

Published on 11 May 2026 - 6:20

score 46 · Answer 8 · 2026-04-14 06:03:36

46

Views

Spans and kleisli maps

Published on 14 Apr 2026 - 6:03

score 344 · Answer 9 · 2026-03-25 20:52:19

344

Views

Continuous function space on a profinite group as a direct limit

Published on 25 Mar 2026 - 20:52

score 32 · Answer 10 · 2026-04-15 13:45:56

32

Views

Terminology for non-empty suprema preserving function

Published on 15 Apr 2026 - 13:45

score 81 · Answer 11 · 2026-04-09 12:46:48

81

Views

How to formally define a conmutative diagram with parallel arrows?

Published on 09 Apr 2026 - 12:46

score 63 · Answer 12 · 2026-04-29 11:20:45

63

Views

Why direct sum of modules admits canonical projections?

Published on 29 Apr 2026 - 11:20

score 96 · Answer 13 · 2026-04-24 11:20:10

96

Views

how are these two different definitions for free objects over an object the same?

Published on 24 Apr 2026 - 11:20

score 58 · Answer 14 · 2026-04-15 11:59:45

58

Views

Reference request for monoidal structure on reflective subcategory

Published on 15 Apr 2026 - 11:59

score 34 · Answer 15 · 2026-04-11 17:03:34

34

Views

In what way are geometric realization and taking projective resolutions the same?

Published on 11 Apr 2026 - 17:03

List Question

For which categories do coproducts preserve monomorphisms and products preserve epimorphisms?

Extension of a homomorphism from $(H \leq G) \xrightarrow{\varphi} X$ to $G \xrightarrow{\psi}X$ -- Is this a correct diagram?

Questions about how to construct Free Metric Space?

Motivation for the definition of kernel pair and cokernel pair.

What is implied by the handling of multisets by N-modules?

Definition of category: composition of incompatible morphisms

Not understanding concretely the Wikipedia or text definition of "Subobject classifier"

Spans and kleisli maps

Continuous function space on a profinite group as a direct limit

Terminology for non-empty suprema preserving function

How to formally define a conmutative diagram with parallel arrows?

Why direct sum of modules admits canonical projections?

how are these two different definitions for free objects over an object the same?

Reference request for monoidal structure on reflective subcategory

In what way are geometric realization and taking projective resolutions the same?

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