List questions from homotopy-theory

Published on 28 Mar 2026 - 17:39

74

Views

$\mathbb{CP}^2$ realizable as boundary of compact smooth $5$-manifold?

Published on 29 Mar 2026 - 19:15

1.8k

Views

Unit sphere without a point is contractible

Published on 14 Apr 2026 - 23:45

83

Views

Replacing faces of a cube in a quasicategory

Published on 26 Apr 2026 - 8:29

125

Views

Reference/Definition of Homotopy in an Abstract Category

Published on 27 Apr 2026 - 12:49

844

Views

Showing $\mathbb{R}^3$ minus $n$ parallel lines is homotopic to $\mathbb{R}^2\setminus\{p_1,\dots,p_n\}$

Published on 15 Apr 2026 - 4:02

966

Views

$f$ is null homotopy if and only if $f_*$ is the trivial induced homomorphism

Published on 15 Apr 2026 - 16:14

120

Views

Smoothing a continuous section in a fibre bundle.

Published on 09 Apr 2026 - 13:51

165

Views

Mind numbing homotopies; why is this a homotopy rel?

Published on 14 Apr 2026 - 10:21

158

Views

Lifting paths in a fibration in families

Published on 11 Apr 2026 - 11:01

51

Views

"Reduction to finite case" arguments in algebraic topology

Published on 13 Apr 2026 - 12:03

512

Views

Continuous deformation of loop to point.

Published on 13 Apr 2026 - 23:38

130

Views

I don't understand what a Fundamental group is

Published on 31 Mar 2026 - 11:58

540

Views

Contradictory; Homotopy equivalence and deformation retract problem

Published on 14 Apr 2026 - 8:18

219

Views

What do paths have anything to do with homotopy equivalence?

Published on 11 Apr 2026 - 1:55

List Question

Enriching categories of simplicial objects

$\mathbb{CP}^2$ realizable as boundary of compact smooth $5$-manifold?

Unit sphere without a point is contractible

Replacing faces of a cube in a quasicategory

Reference/Definition of Homotopy in an Abstract Category

Showing $\mathbb{R}^3$ minus $n$ parallel lines is homotopic to $\mathbb{R}^2\setminus\{p_1,\dots,p_n\}$

$f$ is null homotopy if and only if $f_*$ is the trivial induced homomorphism

Smoothing a continuous section in a fibre bundle.

Mind numbing homotopies; why is this a homotopy rel?

Lifting paths in a fibration in families

"Reduction to finite case" arguments in algebraic topology

Continuous deformation of loop to point.

I don't understand what a Fundamental group is

Contradictory; Homotopy equivalence and deformation retract problem

What do paths have anything to do with homotopy equivalence?

Trending Questions

Popular # Hahtags

Popular Questions