Question

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

score 75 · Answer 1 · 2026-05-05 00:44:24

75

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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 05 May 2026 - 0:44

score 180 · Answer 2 · 2026-05-07 12:21:19

180

Views

Continuous functor for a Grothendieck topology

Published on 07 May 2026 - 12:21

score 867 · Answer 3 · 2026-04-29 12:18:06

867

Views

Showing that initial object is also terminal in preadditive category

Published on 29 Apr 2026 - 12:18

score 189 · Answer 4 · 2026-05-07 11:27:03

189

Views

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

Published on 07 May 2026 - 11:27

score 91 · Answer 5 · 2026-05-07 07:38:46

91

Views

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

Published on 07 May 2026 - 7:38

score 103 · Answer 6 · 2026-05-02 18:46:28

103

Views

Please explain Mac Lane notation on page 48

Published on 02 May 2026 - 18:46

score 332 · Answer 7 · 2026-05-06 04:22:01

332

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 06 May 2026 - 4:22

score 190 · Answer 8 · 2026-05-02 20:25:33

190

Views

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

Published on 02 May 2026 - 20:25

score 829 · Answer 9 · 2026-05-10 09:08:46

829

Views

Show that a functor which preserves colimits has a right adjoint

Published on 10 May 2026 - 9:08

score 370 · Answer 10 · 2026-04-29 12:06:32

370

Views

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

Published on 29 Apr 2026 - 12:06

score 77 · Answer 11 · 2026-05-02 18:27:44

77

Views

Is there a system to the numbered categories

Published on 02 May 2026 - 18:27

score 351 · Answer 12 · 2026-04-29 12:05:59

351

Views

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

Published on 29 Apr 2026 - 12:05

score 102 · Answer 13 · 2026-05-07 10:15:42

102

Views

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

Published on 07 May 2026 - 10:15

score 55 · Answer 14 · 2026-05-10 11:20:40

55

Views

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

Published on 10 May 2026 - 11:20

score 1k · Answer 15 · 2026-05-10 11:20:36

1k

Views

The category of all small categories

Published on 10 May 2026 - 11:20

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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