Question

Transferring model structures along an equivalence of categories

score 325 · Answer 1 · 2026-04-15 01:03:31

325

Views

Transferring model structures along an equivalence of categories

Published on 15 Apr 2026 - 1:03

score 240 · Answer 2 · 2026-04-13 07:36:10

240

Views

How can the subobject fibration be obtained from the codomain fibration

Published on 13 Apr 2026 - 7:36

score 232 · Answer 3 · 2026-04-12 19:06:20

232

Views

Does the codiagonal functor have adjoints like the diagonal functor? If not, does it have something else instead?

Published on 12 Apr 2026 - 19:06

score 116 · Answer 4 · 2026-04-15 03:23:00

116

Views

Formal Proof for $\textbf{Vect}_k\cong\textbf{Mat}_k$?

Published on 15 Apr 2026 - 3:23

score 106 · Answer 5 · 2026-04-16 22:29:17

106

Views

Any functor F equipped with a natural weak equivalence to or from the identity functor is homotopical by the 2-of-3 property.

Published on 16 Apr 2026 - 22:29

score 192 · Answer 6 · 2026-04-11 16:05:50

192

Views

What is the (categorical) significance of being able to describe the same idea in different ways?

Published on 11 Apr 2026 - 16:05

score 207 · Answer 7 · 2026-04-14 16:45:07

207

Views

Equivalence of categories between sheaves on $X$ and sheaves on a given base $B$ of $X$.

Published on 14 Apr 2026 - 16:45

score 84 · Answer 8 · 2026-05-11 03:12:19

84

Views

Monad $W_0$ constructed by forgetful functor $\textsf{Mon}$ to $\textsf{Set}$ and its $W_0$-algebra

Published on 11 May 2026 - 3:12

score 1.5k · Answer 9 · 2026-04-14 04:23:25

1.5k

Views

Elementary example of Grothendieck's style of proof?

Published on 14 Apr 2026 - 4:23

score 84 · Answer 10 · 2026-05-11 06:15:22

84

Views

What do all the common maps "preserve"?

Published on 11 May 2026 - 6:15

score 2.3k · Answer 11 · 2026-04-14 19:51:19

2.3k

Views

Hom Functor Preserves Coproducts

Published on 14 Apr 2026 - 19:51

score 161 · Answer 12 · 2026-04-15 12:30:15

161

Views

Is the Natural Functor on the Quotient Category Ever Not the Identity Functor on Objects?

Published on 15 Apr 2026 - 12:30

score 696 · Answer 13 · 2026-04-14 01:27:03

696

Views

Unit of Day convolution of functors

Published on 14 Apr 2026 - 1:27

score 451 · Answer 14 · 2026-04-17 09:03:22

451

Views

Do random variables form a comma category?

Published on 17 Apr 2026 - 9:03

score 139 · Answer 15 · 2026-04-16 03:47:53

139

Views

Is there a category of spaces with multiple choices of topology?

Published on 16 Apr 2026 - 3:47

List Question

Transferring model structures along an equivalence of categories

How can the subobject fibration be obtained from the codomain fibration

Does the codiagonal functor have adjoints like the diagonal functor? If not, does it have something else instead?

Formal Proof for $\textbf{Vect}_k\cong\textbf{Mat}_k$?

Any functor F equipped with a natural weak equivalence to or from the identity functor is homotopical by the 2-of-3 property.

What is the (categorical) significance of being able to describe the same idea in different ways?

Equivalence of categories between sheaves on $X$ and sheaves on a given base $B$ of $X$.

Monad $W_0$ constructed by forgetful functor $\textsf{Mon}$ to $\textsf{Set}$ and its $W_0$-algebra

Elementary example of Grothendieck's style of proof?

What do all the common maps "preserve"?

Hom Functor Preserves Coproducts

Is the Natural Functor on the Quotient Category Ever Not the Identity Functor on Objects?

Unit of Day convolution of functors

Do random variables form a comma category?

Is there a category of spaces with multiple choices of topology?

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