List questions from homotopy-theory

Published on 12 Apr 2026 - 10:16

122

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Action of $\pi_1(B)$ on Higher Homotopy groups $\pi_n(F)$ for a Fibration $F \to E \to B$

Published on 17 Apr 2026 - 8:48

122

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Are $X^{I}$ and $X$ homotopy equivalent?

Published on 12 Apr 2026 - 11:51

83

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Effects on CW-complexes by replacing attatching maps by homotopic ones

Published on 14 Apr 2026 - 4:22

187

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Are neighbourhood deformation retracts transitive?

Published on 11 Apr 2026 - 9:33

276

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Constructing a homotopy in a square

Published on 16 Apr 2026 - 11:16

82

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Understanding how to obtain homotopy from a picture.

Published on 11 Apr 2026 - 5:48

103

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Classification of surface bundles and an isomorphism between $[S^n, BDiff(X)]$ and $\pi_{n-1}(Diff(X))/\pi_0(Diff(X))$

Published on 25 Mar 2026 - 12:55

208

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Associativity of concatenation of path homotopies

Published on 10 Apr 2026 - 15:17

51

Views

the fibration in homotopy theory

Published on 09 Apr 2026 - 19:53

39

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Proving the compact open topology map of a disjoint union is homeomorphic

Published on 13 Apr 2026 - 10:42

53

Views

The map $X/A \to Y$ induced by $f:X \to Y$, which is nullhomotopic on $A\subset X$

Published on 13 Apr 2026 - 2:11

44

Views

Help with problem about quotient of groups of covering transformations.

Published on 10 Apr 2026 - 4:51

90

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When can homotopy be upgraded to a pointed homotopy?

Published on 12 Apr 2026 - 15:06

99

Views

Stable homotopy groups commute with inverse limit

Published on 25 Mar 2026 - 6:00

List Question

How to distinguish between isomorphic and homotopic chain complexes?

Action of $\pi_1(B)$ on Higher Homotopy groups $\pi_n(F)$ for a Fibration $F \to E \to B$

Are $X^{I}$ and $X$ homotopy equivalent?

Effects on CW-complexes by replacing attatching maps by homotopic ones

Are neighbourhood deformation retracts transitive?

Constructing a homotopy in a square

Understanding how to obtain homotopy from a picture.

Classification of surface bundles and an isomorphism between $[S^n, BDiff(X)]$ and $\pi_{n-1}(Diff(X))/\pi_0(Diff(X))$

Associativity of concatenation of path homotopies

the fibration in homotopy theory

Proving the compact open topology map of a disjoint union is homeomorphic

The map $X/A \to Y$ induced by $f:X \to Y$, which is nullhomotopic on $A\subset X$

Help with problem about quotient of groups of covering transformations.

When can homotopy be upgraded to a pointed homotopy?

Stable homotopy groups commute with inverse limit

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