List questions from higher-category-theory

Published on 22 Jun 2018 - 14:42

111

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What is the right notion of separator in a 2-category?

Published on 20 Mar 2026 - 14:27

190

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What are the loops by delooping a group to a groupoid?

Published on 06 Jul 2018 - 6:00

171

Views

Underlying quasicategory of a model category through framings?

Published on 17 Mar 2026 - 16:40

535

Views

Defining Category of Adjunctions

Published on 25 Mar 2026 - 1:34

108

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Is there a simplicial set classifying subobjects of groupoids?

Published on 24 Mar 2026 - 20:36

2k

Views

Why is it that homotopy is better described by weak equivalences than by homotopies?

Published on 08 Aug 2018 - 19:08

277

Views

Is the map $\Lambda^n_n \sqcup_{\Delta^{\{n-1,n\}}} J \to \Delta^n \sqcup_{\Delta^{\{n-1,n\}}} J$ left anodyne?

Published on 09 Aug 2018 - 18:59

287

Views

Span Categories

Published on 21 Mar 2026 - 13:38

96

Views

$\mathbf{B}A$ as a 2-group in a long fiber sequence

Published on 25 Mar 2026 - 5:16

218

Views

The Whitehead product and $\pi_{\leq 3} S^2$

Published on 24 Mar 2026 - 20:38

74

Views

Fiber sequence, a group and an $n$-group

Published on 25 Mar 2026 - 6:10

47

Views

A 2-group $\mathbb{G}$, so that always exists $0 \to BG_b \to \mathbb{G} \to G_a \to 0?$

Published on 25 Mar 2026 - 6:12

109

Views

Why do the $-1$-categories form a categeory rather than merely a set?

Published on 24 Sep 2018 - 14:21

435

Views

The left adjoint functor $\mathfrak{C}$ to the simplicial nerve functor $N$.

Published on 30 Sep 2018 - 16:54

List Question

Limits vs homotopy limits in derived algebraic geometry

What is the right notion of separator in a 2-category?

What are the loops by delooping a group to a groupoid?

Underlying quasicategory of a model category through framings?

Defining Category of Adjunctions

Is there a simplicial set classifying subobjects of groupoids?

Why is it that homotopy is better described by weak equivalences than by homotopies?

Is the map $\Lambda^n_n \sqcup_{\Delta^{\{n-1,n\}}} J \to \Delta^n \sqcup_{\Delta^{\{n-1,n\}}} J$ left anodyne?

Span Categories

$\mathbf{B}A$ as a 2-group in a long fiber sequence

The Whitehead product and $\pi_{\leq 3} S^2$

Fiber sequence, a group and an $n$-group

A 2-group $\mathbb{G}$, so that always exists $0 \to BG_b \to \mathbb{G} \to G_a \to 0?$

Why do the $-1$-categories form a categeory rather than merely a set?

The left adjoint functor $\mathfrak{C}$ to the simplicial nerve functor $N$.

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