List questions from homotopy-theory

Published on 01 Apr 2026 - 0:57

219

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Geometric intuition for homotopy invariance of fiber bundles?

Published on 11 May 2026 - 10:19

298

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How to show there is no homotopy between two curves?

Published on 01 Mar 2016 - 21:51

689

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Definition of the infinite unitary group

Published on 02 Mar 2016 - 14:56

840

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A category whose classifying space has nontrivial higher homotopy groups

Published on 26 Apr 2026 - 10:16

528

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When does triviality of $f_*$ imply null-homotopy of $f$?

Published on 30 Mar 2026 - 6:48

412

Views

Relation between two notions of $BG$

Published on 10 May 2026 - 14:59

67

Views

What is the suspension of the integers?

Published on 03 Mar 2016 - 18:06

249

Views

How to show that a map without fix point from annular region to annular region is homotopic to antipodal map

Published on 04 Mar 2016 - 3:30

1.3k

Views

free commutative graded algebra

Published on 05 Mar 2016 - 11:34

39

Views

What is the topology of uniform convergence in this case of $P=P(x_{0},M)$ of all paths in $M$ starting at $x_{0}$?

Published on 04 May 2026 - 20:38

152

Views

Why is the group $[\Sigma\Sigma X, Y]_{\ast}$ commutative?

Published on 29 Mar 2026 - 5:35

345

Views

Cobordism and h-cobordism

Published on 11 May 2026 - 0:43

53

Views

Difficulties with the description of $p*$ in the serre spectral sequence(Bullet 7 of Mosher Tangora Page 76):

Published on 08 Mar 2016 - 22:56

122

Views

Is it true that $\pi_n(X^{n-1})=0$ for $n>1$ if $X$ is $K(G,1)$ space?

Published on 09 Mar 2016 - 22:57

List Question

Fiber bundles that can be turned into a fibration that is a fiber bundle.

Geometric intuition for homotopy invariance of fiber bundles?

How to show there is no homotopy between two curves?

Definition of the infinite unitary group

A category whose classifying space has nontrivial higher homotopy groups

When does triviality of $f_*$ imply null-homotopy of $f$?

Relation between two notions of $BG$

What is the suspension of the integers?

How to show that a map without fix point from annular region to annular region is homotopic to antipodal map

free commutative graded algebra

What is the topology of uniform convergence in this case of $P=P(x_{0},M)$ of all paths in $M$ starting at $x_{0}$?

Why is the group $[\Sigma\Sigma X, Y]_{\ast}$ commutative?

Cobordism and h-cobordism

Difficulties with the description of $p*$ in the serre spectral sequence(Bullet 7 of Mosher Tangora Page 76):

Is it true that $\pi_n(X^{n-1})=0$ for $n>1$ if $X$ is $K(G,1)$ space?

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