Question

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

score 290 · Answer 1 · 2022-02-25 14:45:28

290

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

Published on 25 Feb 2022 - 14:45

score 67 · Answer 2 · 2026-03-24 12:19:41

67

Views

Example of non-balanced category.

Published on 24 Mar 2026 - 12:19

score 84 · Answer 3 · 2022-03-28 15:48:50

84

Views

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

Published on 28 Mar 2022 - 15:48

score 86 · Answer 4 · 2022-04-02 10:00:38

86

Views

Kernel pairs, coequalizers and epimorphisms

Published on 02 Apr 2022 - 10:00

score 402 · Answer 5 · 2022-04-06 02:39:22

402

Views

What are the epimorphisms in the category of topological groups?

Published on 06 Apr 2022 - 2:39

score 147 · Answer 6 · 2022-04-28 20:57:20

147

Views

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

Published on 28 Apr 2022 - 20:57

score 46 · Answer 7 · 2022-05-04 23:43:44

46

Views

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

Published on 04 May 2022 - 23:43

score 153 · Answer 8 · 2022-07-25 12:52:27

153

Views

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

Published on 25 Jul 2022 - 12:52

score 54 · Answer 9 · 2022-08-17 12:46:32

54

Views

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

Published on 17 Aug 2022 - 12:46

score 525 · Answer 10 · 2022-09-15 10:57:47

525

Views

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

Published on 15 Sep 2022 - 10:57

score 92 · Answer 11 · 2022-09-15 15:54:19

92

Views

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

Published on 15 Sep 2022 - 15:54

score 169 · Answer 12 · 2022-09-19 03:01:38

169

Views

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

Published on 19 Sep 2022 - 3:01

score 127 · Answer 13 · 2026-03-15 01:48:58

127

Views

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

Published on 15 Mar 2026 - 1:48

score 82 · Answer 14 · 2026-02-24 11:01:15

82

Views

Pullback of an epimorphism in the category of Hausdorff spaces

Published on 24 Feb 2026 - 11:01

score 55 · Answer 15 · 2026-02-24 10:53:19

55

Views

Prove a square is a pullback

Published on 24 Feb 2026 - 10:53

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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