Question

Proof or reference that $X \to X^I$ is a Hurewicz cofibration

score 141 · Answer 1 · 2019-01-31 18:16:33

141

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Proof or reference that $X \to X^I$ is a Hurewicz cofibration

Published on 31 Jan 2019 - 18:16

score 425 · Answer 2 · 2026-03-25 07:45:50

425

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Are there non-contractible space such that suspension $\sigma\colon \pi_k(X) \to \pi_{k+1}(\Sigma X)$ is an isomorphism for all $k$?

Published on 25 Mar 2026 - 7:45

score 222 · Answer 3 · 2019-02-01 03:30:19

222

Views

Explicit computation of euler number of tangent bundle of sphere

Published on 01 Feb 2019 - 3:30

score 79 · Answer 4 · 2026-03-26 14:19:28

79

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score 181 · Answer 5 · 2026-03-25 03:23:00

181

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score 838 · Answer 6 · 2026-03-26 03:11:18

838

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score 635 · Answer 7 · 2026-03-31 15:22:12

635

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score 55 · Answer 8 · 2026-03-27 22:27:35

55

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Notation: Definition of little $d$-disk operad $D_d$ for $d=\infty$

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score 376 · Answer 9 · 2019-02-01 10:09:21

376

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connected sum of surface

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score 587 · Answer 10 · 2019-02-01 15:21:10

587

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Homotopy Extension Property: necessary and sufficient condition

Published on 01 Feb 2019 - 15:21

score 130 · Answer 11 · 2019-02-01 17:05:00

130

Views

How to find the homotopy fiber of bouquet embedding $S^1⋁S^1↪S^1×S^1$

Published on 01 Feb 2019 - 17:05

score 164 · Answer 12 · 2026-04-01 01:24:49

164

Views

is Euler characteristic with coefficients in local system equal usual Euler characteristic times rank, for non-compact spaces?

Published on 01 Apr 2026 - 1:24

score 182 · Answer 13 · 2026-03-26 21:27:26

182

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score 88 · Answer 14 · 2026-03-26 16:06:24

88

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

Published on 26 Mar 2026 - 16:06

score 244 · Answer 15 · 2026-03-26 21:35:13

244

Views

Isotopy between homeomorphisms of open balls

Published on 26 Mar 2026 - 21:35

List Question

Proof or reference that $X \to X^I$ is a Hurewicz cofibration

Are there non-contractible space such that suspension $\sigma\colon \pi_k(X) \to \pi_{k+1}(\Sigma X)$ is an isomorphism for all $k$?

Explicit computation of euler number of tangent bundle of sphere

A Topological Invariant for $\pi_3(U(n))$

Natural bijection between equivariant maps and sections, Principal bundles

Can the Gauss-Bonnet theorem be proven from Stokes's theorem?

Three questions about Properties of Ext functor.

Notation: Definition of little $d$-disk operad $D_d$ for $d=\infty$

connected sum of surface

Homotopy Extension Property: necessary and sufficient condition

How to find the homotopy fiber of bouquet embedding $S^1⋁S^1↪S^1×S^1$

is Euler characteristic with coefficients in local system equal usual Euler characteristic times rank, for non-compact spaces?

Killing cohomology of surfaces in finite covers

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

Isotopy between homeomorphisms of open balls

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