Question

Why are chain complexes only constructed in additive categories?

score 626 · Answer 1 · 2026-04-14 03:16:29

626

Views

Why are chain complexes only constructed in additive categories?

Published on 14 Apr 2026 - 3:16

score 72 · Answer 2 · 2026-04-13 15:24:06

72

Views

Counit for the filtration adjunction

Published on 13 Apr 2026 - 15:24

score 344 · Answer 3 · 2026-04-15 05:58:34

344

Views

Exercise on functors and natural transformations in Categories for the Working Mathematician

Published on 15 Apr 2026 - 5:58

score 110 · Answer 4 · 2026-04-16 01:18:02

110

Views

In a regular category: How can you construct $m^R$ (second isomorphism theorem)?

Published on 16 Apr 2026 - 1:18

score 84 · Answer 5 · 2026-04-15 20:16:51

84

Views

The correct name for "height" of "direct" categories

Published on 15 Apr 2026 - 20:16

score 103 · Answer 6 · 2026-04-15 00:05:11

103

Views

Under what conditions are $\left(A\times C\right)\sqcup\left(B\times C\right)$ and $\left(A\sqcup B\right)\times C$ isomorphic?

Published on 15 Apr 2026 - 0:05

score 164 · Answer 7 · 2026-04-09 22:19:22

164

Views

Lemma for pointwise Kan extensions

Published on 09 Apr 2026 - 22:19

score 233 · Answer 8 · 2026-04-13 21:41:15

233

Views

What $A_\infty$ operad gives rise to the $A_\infty$ relations?

Published on 13 Apr 2026 - 21:41

score 219 · Answer 9 · 2026-04-14 18:53:35

219

Views

Pointwise image in functor categories

Published on 14 Apr 2026 - 18:53

score 199 · Answer 10 · 2026-04-14 08:44:03

199

Views

Sufficient conditions for all regular epimorphisms in a category to split

Published on 14 Apr 2026 - 8:44

score 106 · Answer 11 · 2026-04-17 02:49:49

106

Views

Examples of (co)complete 2-categories that aren't (co)complete as a 1-category

Published on 17 Apr 2026 - 2:49

score 61 · Answer 12 · 2026-04-25 15:26:37

61

Views

Is $MonCat$ locally presentable?

Published on 25 Apr 2026 - 15:26

score 544 · Answer 13 · 2026-04-09 08:03:44

544

Views

Comma categories and Kan Extensions

Published on 09 Apr 2026 - 8:03

score 227 · Answer 14 · 2026-04-15 17:15:36

227

Views

Category theoretic description of evaluation of polynomials

Published on 15 Apr 2026 - 17:15

score 57 · Answer 15 · 2026-04-14 01:36:25

57

Views

What is important about $\mathsf{Top}$ with regard to models of a homological variety?

Published on 14 Apr 2026 - 1:36

List Question

Why are chain complexes only constructed in additive categories?

Counit for the filtration adjunction

Exercise on functors and natural transformations in Categories for the Working Mathematician

In a regular category: How can you construct $m^R$ (second isomorphism theorem)?

The correct name for "height" of "direct" categories

Under what conditions are $\left(A\times C\right)\sqcup\left(B\times C\right)$ and $\left(A\sqcup B\right)\times C$ isomorphic?

Lemma for pointwise Kan extensions

What $A_\infty$ operad gives rise to the $A_\infty$ relations?

Pointwise image in functor categories

Sufficient conditions for all regular epimorphisms in a category to split

Examples of (co)complete 2-categories that aren't (co)complete as a 1-category

Is $MonCat$ locally presentable?

Comma categories and Kan Extensions

Category theoretic description of evaluation of polynomials

What is important about $\mathsf{Top}$ with regard to models of a homological variety?

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