Question

Show that a certain functor preserves colimits and finite limits by verifying it on the stalks of sheaves

score 361 · Answer 1 · 2026-03-22 15:51:28

361

Views

Show that a certain functor preserves colimits and finite limits by verifying it on the stalks of sheaves

Published on 22 Mar 2026 - 15:51

score 344 · Answer 2 · 2026-03-23 05:00:28

344

Views

Prove that a "tensor product" principal $G$-bundle coincides with a "pullback" via topos morphism

Published on 23 Mar 2026 - 5:00

score 46 · Answer 3 · 2026-03-22 21:10:12

46

Views

What prevents me from starting the cone in the objects mapped by the diagram

Published on 22 Mar 2026 - 21:10

score 44 · Answer 4 · 2026-03-22 18:05:09

44

Views

Two morphisms $f, g : M \to L$ are equal as long as they are equal under the limit $L$.

Published on 22 Mar 2026 - 18:05

score 35 · Answer 5 · 2026-03-17 01:56:33

35

Views

Separating coproducts by its index set

Published on 17 Mar 2026 - 1:56

score 59 · Answer 6 · 2026-03-22 13:57:39

59

Views

Preservation of coproducts by coproducts

Published on 22 Mar 2026 - 13:57

score 133 · Answer 7 · 2026-03-22 18:20:14

133

Views

Categorification of commutative sum

Published on 22 Mar 2026 - 18:20

score 559 · Answer 8 · 2026-03-22 14:16:04

559

Views

Colimit of a directed system of modules

Published on 22 Mar 2026 - 14:16

score 80 · Answer 9 · 2026-03-20 05:07:52

80

Views

Pullback square with two identical sides

Published on 20 Mar 2026 - 5:07

score 56 · Answer 10 · 2026-03-22 20:18:57

56

Views

Subring of an inverse limit is the entire thing if maps to pieces are surjective

Published on 22 Mar 2026 - 20:18

score 686 · Answer 11 · 2026-03-23 03:42:28

686

Views

Ring Localization as directed colimit of finitely generated free module

Published on 23 Mar 2026 - 3:42

score 187 · Answer 12 · 2026-03-21 16:40:54

187

Views

Colimit of collection of finite sets

Published on 21 Mar 2026 - 16:40

score 54 · Answer 13 · 2026-03-21 17:49:54

54

Views

Concluding that $\mathcal{C}/S$ is complete if $\mathcal{C}$ is complete

Published on 21 Mar 2026 - 17:49

score 561 · Answer 14 · 2026-03-17 03:35:13

561

Views

Stalk of tensor product sheaf is tensor product of stalks via adjunctions and abstract nonsense

Published on 17 Mar 2026 - 3:35

score 201 · Answer 15 · 2026-03-17 17:50:43

201

Views

Does the fixed point functor preserve colimit and limit?

Published on 17 Mar 2026 - 17:50

List Question

Show that a certain functor preserves colimits and finite limits by verifying it on the stalks of sheaves

Prove that a "tensor product" principal $G$-bundle coincides with a "pullback" via topos morphism

What prevents me from starting the cone in the objects mapped by the diagram

Two morphisms $f, g : M \to L$ are equal as long as they are equal under the limit $L$.

Separating coproducts by its index set

Preservation of coproducts by coproducts

Categorification of commutative sum

Colimit of a directed system of modules

Pullback square with two identical sides

Subring of an inverse limit is the entire thing if maps to pieces are surjective

Ring Localization as directed colimit of finitely generated free module

Colimit of collection of finite sets

Concluding that $\mathcal{C}/S$ is complete if $\mathcal{C}$ is complete

Stalk of tensor product sheaf is tensor product of stalks via adjunctions and abstract nonsense

Does the fixed point functor preserve colimit and limit?

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