List questions from higher-category-theory

Published on 26 Mar 2026 - 7:18

69

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How are sheaves/stacks viewed as generalised spaces?

Published on 25 Mar 2026 - 13:54

52

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Cofibrantly generated model category gives a quasi-category?

Published on 29 Mar 2026 - 19:10

225

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Kerodon exercise 1.1.2.8

Published on 29 Mar 2026 - 19:09

35

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Presheaves of $k$-morphisms associated to fibred $\infty$-category

Published on 17 Feb 2021 - 9:04

112

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Homotopy-coherent replacement of diagrams in quasi-categories

Published on 29 Mar 2026 - 20:51

33

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Skeletal groupoids and strict coherences

Published on 10 Mar 2021 - 5:22

124

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Kerodon 2.4.4.10.: pushouts of graphs associated to a pushout of simplicial sets

Published on 26 Mar 2026 - 8:00

366

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Is there a concept of "homotopy category of a 2-category"?

Published on 10 Apr 2021 - 17:52

336

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Compactly generated stable categories are dualizable.

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69

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Confused about -1 and -2 functors

Published on 23 Apr 2021 - 3:07

45

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Category of symmetric monoidal functors out of a symmetric monoidal category with duals form a groupoud

Published on 01 May 2021 - 1:06

27

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To check factorization in axiom in cofibration category, it suffices to check factorization of codiagonal map.

Published on 11 May 2021 - 6:34

26

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Correct notion of "higher" subobject/bundle

Published on 11 May 2021 - 15:40

241

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Description of adjunctions in a 2-category via Kan extensions?

Published on 29 Mar 2026 - 21:02

List Question

Pivotal category: Why that name?

How are sheaves/stacks viewed as generalised spaces?

Cofibrantly generated model category gives a quasi-category?

Kerodon exercise 1.1.2.8

Presheaves of $k$-morphisms associated to fibred $\infty$-category

Homotopy-coherent replacement of diagrams in quasi-categories

Skeletal groupoids and strict coherences

Kerodon 2.4.4.10.: pushouts of graphs associated to a pushout of simplicial sets

Is there a concept of "homotopy category of a 2-category"?

Compactly generated stable categories are dualizable.

Confused about -1 and -2 functors

Category of symmetric monoidal functors out of a symmetric monoidal category with duals form a groupoud

To check factorization in axiom in cofibration category, it suffices to check factorization of codiagonal map.

Correct notion of "higher" subobject/bundle

Description of adjunctions in a 2-category via Kan extensions?

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