Question

If the limits of two functors are isomorphic in a category, do we know anything about the functors?

score 54 · Answer 1 · 2026-04-15 09:11:39

54

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If the limits of two functors are isomorphic in a category, do we know anything about the functors?

Published on 15 Apr 2026 - 9:11

score 153 · Answer 2 · 2026-04-17 14:41:46

153

Views

Question on dual category.

Published on 17 Apr 2026 - 14:41

score 109 · Answer 3 · 2026-04-15 05:19:10

109

Views

Coend of $\mathscr{D}(F(\bullet), G(\bullet))$

Published on 15 Apr 2026 - 5:19

score 485 · Answer 4 · 2026-04-17 10:56:08

485

Views

Images in category theory

Published on 17 Apr 2026 - 10:56

score 150 · Answer 5 · 2026-03-25 12:17:52

150

Views

Proving $\operatorname{Spec} k[x]$ is internally a ring of fractions in the internal language of the Zariski topos

Published on 25 Mar 2026 - 12:17

score 113 · Answer 6 · 2026-04-11 13:22:26

113

Views

Is a topology freely generated by a subbasis?

Published on 11 Apr 2026 - 13:22

score 347 · Answer 7 · 2026-04-10 05:53:30

347

Views

Trouble in defining induced map on double dual

Published on 10 Apr 2026 - 5:53

score 138 · Answer 8 · 2026-04-20 02:36:34

138

Views

Are maps $\operatorname{Spec}k[x]\times \operatorname{Spec}k[x]\to \operatorname{Spec}k[x]$ somehow bivariate polynomials?

Published on 20 Apr 2026 - 2:36

score 421 · Answer 9 · 2026-04-16 22:40:02

421

Views

determinant as natural transformation

Published on 16 Apr 2026 - 22:40

score 190 · Answer 10 · 2026-04-24 06:35:14

190

Views

Category with objects from $\mathbb{N}$, in which product and co-product are most natural ones

Published on 24 Apr 2026 - 6:35

score 307 · Answer 11 · 2026-04-15 13:56:08

307

Views

Trying to understand monoids in Set as general monoid in monoidal category

Published on 15 Apr 2026 - 13:56

score 247 · Answer 12 · 2026-04-10 02:20:44

247

Views

Direct limits for algebraic objects

Published on 10 Apr 2026 - 2:20

score 91 · Answer 13 · 2026-04-15 16:49:50

91

Views

Why does Spanier give two seemingly different definitions of the Category of pairs?

Published on 15 Apr 2026 - 16:49

score 52 · Answer 14 · 2026-04-13 16:15:36

52

Views

Conditions on category to have arbitrary coproducts

Published on 13 Apr 2026 - 16:15

score 245 · Answer 15 · 2026-04-09 09:31:09

245

Views

Grothendieck group of finitely generated abelian groups

Published on 09 Apr 2026 - 9:31

List Question

If the limits of two functors are isomorphic in a category, do we know anything about the functors?

Question on dual category.

Coend of $\mathscr{D}(F(\bullet), G(\bullet))$

Images in category theory

Proving $\operatorname{Spec} k[x]$ is internally a ring of fractions in the internal language of the Zariski topos

Is a topology freely generated by a subbasis?

Trouble in defining induced map on double dual

Are maps $\operatorname{Spec}k[x]\times \operatorname{Spec}k[x]\to \operatorname{Spec}k[x]$ somehow bivariate polynomials?

determinant as natural transformation

Category with objects from $\mathbb{N}$, in which product and co-product are most natural ones

Trying to understand monoids in Set as general monoid in monoidal category

Direct limits for algebraic objects

Why does Spanier give two seemingly different definitions of the Category of pairs?

Conditions on category to have arbitrary coproducts

Grothendieck group of finitely generated abelian groups

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