Question

A proof that epimorphisms in the category of Hausdorff spaces have dense image

score 293 · Answer 1 · 2026-04-16 02:28:04

293

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A proof that epimorphisms in the category of Hausdorff spaces have dense image

Published on 16 Apr 2026 - 2:28

score 79 · Answer 2 · 2026-05-11 01:56:24

79

Views

Example of non-balanced category.

Published on 11 May 2026 - 1:56

score 87 · Answer 3 · 2026-04-13 22:23:36

87

Views

Prove that if $\mathcal{A}$ has enough projectives, then so does $Ch(\mathcal{A})$

Published on 13 Apr 2026 - 22:23

score 91 · Answer 4 · 2026-04-16 21:45:23

91

Views

Kernel pairs, coequalizers and epimorphisms

Published on 16 Apr 2026 - 21:45

score 405 · Answer 5 · 2026-04-16 08:46:25

405

Views

What are the epimorphisms in the category of topological groups?

Published on 16 Apr 2026 - 8:46

score 150 · Answer 6 · 2026-04-13 22:26:03

150

Views

Is the corestriction of a commutative rings morphism to its epicenter an epimorphism?

Published on 13 Apr 2026 - 22:26

score 49 · Answer 7 · 2026-04-12 12:50:37

49

Views

For any ideal, why must a ring homomorphism be surjective for the ideal to be mapped to an ideal?

Published on 12 Apr 2026 - 12:50

score 156 · Answer 8 · 2026-04-12 18:52:57

156

Views

Prove that there does not exist an epimorphism from $S_3$ to $(\mathbb{Z}_6,+)$

Published on 12 Apr 2026 - 18:52

score 59 · Answer 9 · 2026-04-17 08:46:04

59

Views

Is there a standard notation for quotient maps akin to that for inclusions ($\hookrightarrow$)?

Published on 17 Apr 2026 - 8:46

score 528 · Answer 10 · 2026-04-09 23:33:15

528

Views

An "easy" way to construct an epimorphism from S4 to S3

Published on 09 Apr 2026 - 23:33

score 93 · Answer 11 · 2026-03-25 15:45:23

93

Views

How to prove a map is epic using generalized elements only?

Published on 25 Mar 2026 - 15:45

score 172 · Answer 12 · 2026-04-16 09:23:08

172

Views

Let $M$ be a left $R$-module, every epimorphism $f:M\rightarrow R$ splits.

Published on 16 Apr 2026 - 9:23

score 128 · Answer 13 · 2026-03-25 15:47:06

128

Views

Describing epimorphisms in Set-valued functor categories without using pointwise computation of colimits

Published on 25 Mar 2026 - 15:47

score 85 · Answer 14 · 2026-04-15 22:49:52

85

Views

Pullback of an epimorphism in the category of Hausdorff spaces

Published on 15 Apr 2026 - 22:49

score 58 · Answer 15 · 2026-04-12 14:15:59

58

Views

Prove a square is a pullback

Published on 12 Apr 2026 - 14:15

List Question

A proof that epimorphisms in the category of Hausdorff spaces have dense image

Example of non-balanced category.

Prove that if $\mathcal{A}$ has enough projectives, then so does $Ch(\mathcal{A})$

Kernel pairs, coequalizers and epimorphisms

What are the epimorphisms in the category of topological groups?

Is the corestriction of a commutative rings morphism to its epicenter an epimorphism?

For any ideal, why must a ring homomorphism be surjective for the ideal to be mapped to an ideal?

Prove that there does not exist an epimorphism from $S_3$ to $(\mathbb{Z}_6,+)$

Is there a standard notation for quotient maps akin to that for inclusions ($\hookrightarrow$)?

An "easy" way to construct an epimorphism from S4 to S3

How to prove a map is epic using generalized elements only?

Let $M$ be a left $R$-module, every epimorphism $f:M\rightarrow R$ splits.

Describing epimorphisms in Set-valued functor categories without using pointwise computation of colimits

Pullback of an epimorphism in the category of Hausdorff spaces

Prove a square is a pullback

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