Question

(From Awodey)$\sf C \cong D$ be equivalent categories then $\sf C$ has binary products if and only if $\sf D$ does.

score 62 · Answer 1 · 2026-03-17 07:53:50

62

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(From Awodey)$\sf C \cong D$ be equivalent categories then $\sf C$ has binary products if and only if $\sf D$ does.

Published on 17 Mar 2026 - 7:53

score 172 · Answer 2 · 2026-03-23 18:23:59

172

Views

Continuous functor for a Grothendieck topology

Published on 23 Mar 2026 - 18:23

score 858 · Answer 3 · 2026-03-23 00:20:19

858

Views

Showing that initial object is also terminal in preadditive category

Published on 23 Mar 2026 - 0:20

score 173 · Answer 4 · 2026-03-21 12:24:01

173

Views

Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?

Published on 21 Mar 2026 - 12:24

score 75 · Answer 5 · 2026-03-22 22:11:39

75

Views

What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?

Published on 22 Mar 2026 - 22:11

score 93 · Answer 6 · 2026-03-24 05:42:16

93

Views

Please explain Mac Lane notation on page 48

Published on 24 Mar 2026 - 5:42

score 322 · Answer 7 · 2026-03-17 22:29:18

322

Views

How do you prove that category of representations of $G_m$ is equivalent to the category of finite dimensional graded vector spaces?

Published on 17 Mar 2026 - 22:29

score 181 · Answer 8 · 2026-03-22 08:26:09

181

Views

Terminal object for Prin(X,G) (principal $G$-bundles)

Published on 22 Mar 2026 - 8:26

score 818 · Answer 9 · 2026-03-24 00:34:56

818

Views

Show that a functor which preserves colimits has a right adjoint

Published on 24 Mar 2026 - 0:34

score 361 · Answer 10 · 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 69 · Answer 11 · 2026-03-20 06:08:51

69

Views

Is there a system to the numbered categories

Published on 20 Mar 2026 - 6:08

score 344 · Answer 12 · 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 91 · Answer 13 · 2026-03-21 11:40:32

91

Views

What does $a^b$ mean in the definition of a cartesian closed category?

Published on 21 Mar 2026 - 11:40

score 47 · Answer 14 · 2026-03-22 09:03:44

47

Views

How do I chase the identity around this commutative map to show this equality?

Published on 22 Mar 2026 - 9:03

score 999 · Answer 15 · 2026-03-22 14:06:48

999

Views

The category of all small categories

Published on 22 Mar 2026 - 14:06

List Question

(From Awodey)$\sf C \cong D$ be equivalent categories then $\sf C$ has binary products if and only if $\sf D$ does.

Continuous functor for a Grothendieck topology

Showing that initial object is also terminal in preadditive category

Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?

What concept does a natural transformation between two functors between two monoids viewed as categories correspond to?

Please explain Mac Lane notation on page 48

How do you prove that category of representations of $G_m$ is equivalent to the category of finite dimensional graded vector spaces?

Terminal object for Prin(X,G) (principal $G$-bundles)

Show that a functor which preserves colimits has a right adjoint

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

Is there a system to the numbered categories

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

What does $a^b$ mean in the definition of a cartesian closed category?

How do I chase the identity around this commutative map to show this equality?

The category of all small categories

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