List questions from homotopy-theory

Published on 12 Apr 2026 - 12:44

741

Views

de Rham cohomology and homotopy groups of differential manifold

Published on 26 Mar 2026 - 7:51

183

Views

Homotopy groups of connected components

Published on 10 Apr 2026 - 1:04

573

Views

Why Quillen equivalence is used to define "equivalent" model categories?

Published on 03 Apr 2026 - 0:20

110

Views

Does a deck transformation have a homotopy that lifts to it?

Published on 10 Apr 2026 - 11:35

147

Views

Surjectivity of sending loop from fundamental group to the endpoint of its lift?

Published on 08 Apr 2026 - 20:11

505

Views

Let $X$ be a connected CW complex and $G$ a group such that every $\pi_1(X)\to G$ is trivial. Show that every $X\to K(G, 1)$ is nullhomotopic.

Published on 25 Mar 2026 - 9:29

92

Views

Homotopy classes of $X$ and that of its universal covering space.

Published on 12 Apr 2026 - 23:05

64

Views

Examples of weak monoidal Quillen equivalences

Published on 03 Apr 2026 - 2:00

31

Views

Efficient algorithms for minimization of bi-linear matrix expressions?

Published on 10 Apr 2026 - 19:59

71

Views

Commutativity of fibrations up to homotopy implies commutativity

Published on 12 Apr 2026 - 21:34

257

Views

Homotopy between a map and it's antipodal map

Published on 26 Mar 2026 - 16:57

819

Views

Loops as maps from $S^1\to X$, Hatcher 1.15

Published on 26 Mar 2026 - 8:04

231

Views

Hatcher Lemma 1.19

Published on 26 Mar 2026 - 6:18

1.1k

Views

Universal property of the homotopy limit/colimit.

Published on 25 Mar 2026 - 9:53

List Question

Is there a natural homotopy inverse to the map $∣Sing(X)∣\rightarrow X$

de Rham cohomology and homotopy groups of differential manifold

Homotopy groups of connected components

Why Quillen equivalence is used to define "equivalent" model categories?

Does a deck transformation have a homotopy that lifts to it?

Surjectivity of sending loop from fundamental group to the endpoint of its lift?

Let $X$ be a connected CW complex and $G$ a group such that every $\pi_1(X)\to G$ is trivial. Show that every $X\to K(G, 1)$ is nullhomotopic.

Homotopy classes of $X$ and that of its universal covering space.

Examples of weak monoidal Quillen equivalences

Efficient algorithms for minimization of bi-linear matrix expressions?

Commutativity of fibrations up to homotopy implies commutativity

Homotopy between a map and it's antipodal map

Loops as maps from $S^1\to X$, Hatcher 1.15

Hatcher Lemma 1.19

Universal property of the homotopy limit/colimit.

Trending Questions

Popular # Hahtags

Popular Questions