List questions from category-theory

Published on 11 Apr 2026 - 6:40

80

Views

Is (N,succ,0) a Pno-object?

Published on 11 Apr 2026 - 12:03

75

Views

Product of cohomology groups

Published on 15 Apr 2026 - 14:57

29

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How different combinations of morphisms are represented in arrow category?

Published on 16 Apr 2026 - 2:10

893

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Self learning Category and Topos theory

Published on 18 Apr 2026 - 3:05

66

Views

What is $\operatorname{Fun}^{L}(\mathcal{S},\mathcal{C})$ for $\mathcal{S}$ the $\infty$-category of spaces?

Published on 17 Apr 2026 - 16:31

285

Views

Do all toposes have a terminal object?

Published on 28 Mar 2026 - 8:28

236

Views

The inclusion function $Haus\hookrightarrow Top$ has a left adjoint.

Published on 11 Apr 2026 - 18:37

126

Views

Does initial morphism imply that the object in the domain of originating functor is an initial object as well?

Published on 16 Apr 2026 - 23:19

84

Views

Ordinary presheaf as $\infty$-presheaf

Published on 07 Apr 2026 - 5:59

255

Views

Cisinski, Higher Categories and Homotopical Algebra, Theorem 1.1.10

Published on 24 Mar 2026 - 4:36

655

Views

Dual Space and Bidual

Published on 26 Mar 2026 - 13:50

161

Views

Is there a reason why we call $\mathrm{Hom}(A, -)$ covariant and $\mathrm{Hom}(-,B)$ contravariant?

Published on 16 Apr 2026 - 6:49

333

Views

Difference between functors $\mathbf{C} \to \mathbf{D}$ and $\mathbf{C}^{op} \to \mathbf{D}^{op}$

Published on 13 Apr 2026 - 22:55

403

Views

Verifying that an adjunction induces a monad structure

Published on 25 Mar 2026 - 11:00

List Question

Fully-faithful functors between categories of modules

Is (N,succ,0) a Pno-object?

Product of cohomology groups

How different combinations of morphisms are represented in arrow category?

Self learning Category and Topos theory

What is $\operatorname{Fun}^{L}(\mathcal{S},\mathcal{C})$ for $\mathcal{S}$ the $\infty$-category of spaces?

Do all toposes have a terminal object?

The inclusion function $Haus\hookrightarrow Top$ has a left adjoint.

Does initial morphism imply that the object in the domain of originating functor is an initial object as well?

Ordinary presheaf as $\infty$-presheaf

Cisinski, Higher Categories and Homotopical Algebra, Theorem 1.1.10

Dual Space and Bidual

Is there a reason why we call $\mathrm{Hom}(A, -)$ covariant and $\mathrm{Hom}(-,B)$ contravariant?

Difference between functors $\mathbf{C} \to \mathbf{D}$ and $\mathbf{C}^{op} \to \mathbf{D}^{op}$

Verifying that an adjunction induces a monad structure

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