List questions from higher-category-theory

79

Views

Can we control the "degree" of accessibility of right adjoints between presentable $\infty$-Categories? (HTT 5.4.7.7)

Published on 28 Mar 2026 - 12:33

39

Views

Complex of $n$-balls in analogy of simplicial complexes

Published on 30 Mar 2026 - 2:07

90

Views

A problem on algebraic topology.

Published on 23 Nov 2021 - 11:00

212

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Is every infinity-category equivalent to a category? To a weak 2-category?

Published on 10 Dec 2021 - 19:43

62

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The functor $\Omega^\infty : \operatorname{Sp}(\mathcal{C})\rightarrow \mathcal{C}$ is accessible

Published on 23 Dec 2021 - 22:57

101

Views

Singular simplicial sets that are (nerves of) categories

Published on 30 Mar 2026 - 2:06

107

Views

Composition in quasi-categories

Published on 30 Mar 2026 - 2:04

173

Views

The class $l(F)$ of morphisms which have the left lifting property with respect to $F$ is stable under transfinite compositions.

Published on 07 Jan 2022 - 18:29

185

Views

What is a coproduct in an enriched category?

Published on 25 Mar 2026 - 20:34

140

Views

Mapping space of simplicial sets

Published on 21 Jan 2022 - 19:43

189

Views

Composition in an $\infty$-category

Published on 30 Mar 2026 - 3:50

80

Views

Morphisms set of sub-$\infty$-category closed under equivalences

Published on 26 Mar 2026 - 19:17

61

Views

What's the difference between a higher sheaf on a regular ($1$-) site and a sheaf on a $2$- (or $\infty$-)site?

Published on 02 Feb 2022 - 9:06

82

Views

Bimodules as algebra morphisms explicitly

Published on 17 Feb 2022 - 16:59

190

Views

Categorical Intuition of Path Induction

Published on 26 Mar 2026 - 1:28

List Question

Can we control the "degree" of accessibility of right adjoints between presentable $\infty$-Categories? (HTT 5.4.7.7)

Complex of $n$-balls in analogy of simplicial complexes

A problem on algebraic topology.

Is every infinity-category equivalent to a category? To a weak 2-category?

The functor $\Omega^\infty : \operatorname{Sp}(\mathcal{C})\rightarrow \mathcal{C}$ is accessible

Singular simplicial sets that are (nerves of) categories

Composition in quasi-categories

The class $l(F)$ of morphisms which have the left lifting property with respect to $F$ is stable under transfinite compositions.

What is a coproduct in an enriched category?

Mapping space of simplicial sets

Composition in an $\infty$-category

Morphisms set of sub-$\infty$-category closed under equivalences

What's the difference between a higher sheaf on a regular ($1$-) site and a sheaf on a $2$- (or $\infty$-)site?

Bimodules as algebra morphisms explicitly

Categorical Intuition of Path Induction

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