Question

What question(s) does category theory help answer?

score 555 · Answer 1 · 2026-04-14 22:19:31

555

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What question(s) does category theory help answer?

Published on 14 Apr 2026 - 22:19

score 48 · Answer 2 · 2026-03-25 04:43:45

48

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Is there a categorical way to see that $K_1(A)\twoheadrightarrow K_1(A/I)$ for a nilpotent ideal $I\subset A$?

Published on 25 Mar 2026 - 4:43

score 203 · Answer 3 · 2026-03-26 04:51:55

203

Views

Compactly Supported Function's Inductive Limit Topology is Independent of Inductive System

Published on 26 Mar 2026 - 4:51

score 55 · Answer 4 · 2026-04-13 18:31:14

55

Views

Comonoids in coslices of a topos

Published on 13 Apr 2026 - 18:31

score 81 · Answer 5 · 2026-04-26 11:12:11

81

Views

Additivization of functors in an abelian monoidal category

Published on 26 Apr 2026 - 11:12

score 196 · Answer 6 · 2026-04-09 17:05:33

196

Views

Let $\epsilon$ be a topos and let $f:Y\to X$ be a morphism. Let $M,N$ be two subobjects of $X$. Is it true that $f^(M\cap N)=f^(M)\cap f^*(N)$?

Published on 09 Apr 2026 - 17:05

score 214 · Answer 7 · 2026-04-11 15:06:14

214

Views

Coproducts of join-semilattices

Published on 11 Apr 2026 - 15:06

score 71 · Answer 8 · 2026-04-17 11:46:25

71

Views

Category of 3-term sequences

Published on 17 Apr 2026 - 11:46

score 39 · Answer 9 · 2026-03-26 03:13:24

39

Views

If F is a functor from $C_{1} \times C_{2}$ does this equlity hold: $F(f, h \circ g) =F(f,h) \circ F(f,g)$?

Published on 26 Mar 2026 - 3:13

score 73 · Answer 10 · 2026-04-15 03:23:17

73

Views

Is there a name for this construction in category theory?

Published on 15 Apr 2026 - 3:23

score 281 · Answer 11 · 2026-04-10 02:18:42

281

Views

Two questions about the evaluation functor

Published on 10 Apr 2026 - 2:18

score 530 · Answer 12 · 2026-03-26 06:30:54

530

Views

Is $\frac{\bigcap_{k=1}^\infty M_k}{\bigcup_{k=1}^\infty N_k}$ a direct limit?

Published on 26 Mar 2026 - 6:30

score 47 · Answer 13 · 2026-04-21 15:26:05

47

Views

Verifying that the identity functor is indeed a functor

Published on 21 Apr 2026 - 15:26

score 329 · Answer 14 · 2020-06-01 11:40:15

329

Views

Cofibrant objects are isomorphic to their cofibrant replacements

Published on 01 Jun 2020 - 11:40

score 151 · Answer 15 · 2026-04-15 09:38:18

151

Views

Groupification and Forgetful Functor Adjointness

Published on 15 Apr 2026 - 9:38

List Question

What question(s) does category theory help answer?

Is there a categorical way to see that $K_1(A)\twoheadrightarrow K_1(A/I)$ for a nilpotent ideal $I\subset A$?

Compactly Supported Function's Inductive Limit Topology is Independent of Inductive System

Comonoids in coslices of a topos

Additivization of functors in an abelian monoidal category

Let $\epsilon$ be a topos and let $f:Y\to X$ be a morphism. Let $M,N$ be two subobjects of $X$. Is it true that $f^(M\cap N)=f^(M)\cap f^*(N)$?

Coproducts of join-semilattices

Category of 3-term sequences

If F is a functor from $C_{1} \times C_{2}$ does this equlity hold: $F(f, h \circ g) =F(f,h) \circ F(f,g)$?

Is there a name for this construction in category theory?

Two questions about the evaluation functor

Is $\frac{\bigcap_{k=1}^\infty M_k}{\bigcup_{k=1}^\infty N_k}$ a direct limit?

Verifying that the identity functor is indeed a functor

Cofibrant objects are isomorphic to their cofibrant replacements

Groupification and Forgetful Functor Adjointness

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