Question

Homotopy cofinality of $\Delta^{op}$ in $\Delta^{op}\times \Delta^{op}$

score 59 · Answer 1 · 2026-02-23 02:59:29

59

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Homotopy cofinality of $\Delta^{op}$ in $\Delta^{op}\times \Delta^{op}$

Published on 23 Feb 2026 - 2:59

score 61 · Answer 2 · 2020-02-14 21:33:01

61

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Proving that $p_I\circ h=p_I\circ h'$ implies $h=h'$

Published on 14 Feb 2020 - 21:33

score 65 · Answer 3 · 2020-02-14 22:00:43

65

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Proving that this set is a limit in $\mathbf{Set}$

Published on 14 Feb 2020 - 22:00

score 123 · Answer 4 · 2020-02-16 22:25:51

123

Views

An arrow is monic iff the square is a pullback

Published on 16 Feb 2020 - 22:25

score 524 · Answer 5 · 2026-02-23 08:20:35

524

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Preservation of weak pullback

Published on 23 Feb 2026 - 8:20

score 223 · Answer 6 · 2020-02-18 21:53:02

223

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The set $5^{-\infty}\mathbb{Z}$ is a colimit

Published on 18 Feb 2020 - 21:53

score 630 · Answer 7 · 2020-02-18 22:43:03

630

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If $\mathscr A$ has all products and equalizers, then it has all limits

Published on 18 Feb 2020 - 22:43

score 462 · Answer 8 · 2020-02-19 03:15:24

462

Views

Having binary products, terminal object, and equalizers implies having finite limits

Published on 19 Feb 2020 - 3:15

score 99 · Answer 9 · 2020-02-21 17:08:10

99

Views

canonical isomorphism $Y\times_{Y\times_Z Y}X\times_Z X\overset{\sim}\longrightarrow X\times_Y X$

Published on 21 Feb 2020 - 17:08

score 231 · Answer 10 · 2020-02-23 15:52:16

231

Views

A presheaf $P$ on $X$ is a sheaf iff for every covering sieve $S$ on an open set $U$ of $X$ one has $PU=\varprojlim_{V\in S}PV.$

Published on 23 Feb 2020 - 15:52

score 122 · Answer 11 · 2026-03-25 14:27:38

122

Views

What does it mean to say that a category "admits" filtered colimits

Published on 25 Mar 2026 - 14:27

score 327 · Answer 12 · 2026-03-25 22:23:36

327

Views

Show that $\Gamma$, $\Lambda$, and the associated sheaf functor are all left exact.

Published on 25 Mar 2026 - 22:23

score 452 · Answer 13 · 2020-03-04 15:22:27

452

Views

Does Direct limit/union of subspaces commute with sheaf cohomology

Published on 04 Mar 2020 - 15:22

score 295 · Answer 14 · 2026-03-19 22:43:57

295

Views

Dieudonné module associated to the dual of a $p$-divisible group

Published on 19 Mar 2026 - 22:43

score 63 · Answer 15 · 2026-03-20 17:52:07

63

Views

Weighted limits in ordinary category theory are ordinary limits from the category of elements

Published on 20 Mar 2026 - 17:52

List Question

Homotopy cofinality of $\Delta^{op}$ in $\Delta^{op}\times \Delta^{op}$

Proving that $p_I\circ h=p_I\circ h'$ implies $h=h'$

Proving that this set is a limit in $\mathbf{Set}$

An arrow is monic iff the square is a pullback

Preservation of weak pullback

The set $5^{-\infty}\mathbb{Z}$ is a colimit

If $\mathscr A$ has all products and equalizers, then it has all limits

Having binary products, terminal object, and equalizers implies having finite limits

canonical isomorphism $Y\times_{Y\times_Z Y}X\times_Z X\overset{\sim}\longrightarrow X\times_Y X$

A presheaf $P$ on $X$ is a sheaf iff for every covering sieve $S$ on an open set $U$ of $X$ one has $PU=\varprojlim_{V\in S}PV.$

What does it mean to say that a category "admits" filtered colimits

Show that $\Gamma$, $\Lambda$, and the associated sheaf functor are all left exact.

Does Direct limit/union of subspaces commute with sheaf cohomology

Dieudonné module associated to the dual of a $p$-divisible group

Weighted limits in ordinary category theory are ordinary limits from the category of elements

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