Question

Hatcher's Algebraic Topology and Star-Shaped Neighbourhoods

score 697 · Answer 1 · 2026-04-13 16:19:12

697

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Hatcher's Algebraic Topology and Star-Shaped Neighbourhoods

Published on 13 Apr 2026 - 16:19

score 78 · Answer 2 · 2026-04-17 07:30:15

78

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Any good reference for homotopy colimit of $\mathrm{hTop}$ category?

Published on 17 Apr 2026 - 7:30

score 181 · Answer 3 · 2026-03-26 06:29:55

181

Views

Base point of BU/BO, classifying space of U/O.

Published on 26 Mar 2026 - 6:29

score 171 · Answer 4 · 2026-04-13 17:37:25

171

Views

Fundamental group of the quotient space of the $\Bbb Z$-action on $X=\Bbb C-\{0\}$ given by $n\cdot z=\lambda^nz$

Published on 13 Apr 2026 - 17:37

score 681 · Answer 5 · 2026-04-08 22:25:10

681

Views

Integral Over Homotopic paths

Published on 08 Apr 2026 - 22:25

score 550 · Answer 6 · 2026-04-13 20:30:47

550

Views

homotopy groups of product space

Published on 13 Apr 2026 - 20:30

score 96 · Answer 7 · 2026-04-15 21:17:22

96

Views

Cofibre sequence $S^n \rightarrow S^n \rightarrow M(\mathbb{Z}/p,n)$. When does $f$ induce multiplication by $p$ on homotopy groups?

Published on 15 Apr 2026 - 21:17

score 212 · Answer 8 · 2026-04-14 17:15:35

212

Views

Classifying continuous maps from closed 2-manifolds to various closed manifolds

Published on 14 Apr 2026 - 17:15

score 562 · Answer 9 · 2026-03-25 12:54:18

562

Views

Obstruction to lifting a map from the base space to the total space.

Published on 25 Mar 2026 - 12:54

score 104 · Answer 10 · 2026-04-16 07:34:15

104

Views

prove that elements in $K_1(A)$ coincide

Published on 16 Apr 2026 - 7:34

score 227 · Answer 11 · 2026-04-15 06:35:33

227

Views

The claim that $A \to X$ a cofibration implies $A \times I \to M_{A \to X}$ is an inclusion.

Published on 15 Apr 2026 - 6:35

score 447 · Answer 12 · 2026-04-11 10:09:26

447

Views

Homotopy between homeomorphism and the identity

Published on 11 Apr 2026 - 10:09

score 216 · Answer 13 · 2026-04-17 04:45:11

216

Views

Smooth homotopy between $\Bbb R^2-\{0\}$ and $S^1$

Published on 17 Apr 2026 - 4:45

score 432 · Answer 14 · 2026-04-17 06:08:59

432

Views

Partial Converse to "Pushout of a cofibration is a cofibration"

Published on 17 Apr 2026 - 6:08

score 281 · Answer 15 · 2026-04-16 02:38:45

281

Views

bottom map of pullback square is cofibration $\Rightarrow$top map is cofibration

Published on 16 Apr 2026 - 2:38

List Question

Hatcher's Algebraic Topology and Star-Shaped Neighbourhoods

Any good reference for homotopy colimit of $\mathrm{hTop}$ category?

Base point of BU/BO, classifying space of U/O.

Fundamental group of the quotient space of the $\Bbb Z$-action on $X=\Bbb C-\{0\}$ given by $n\cdot z=\lambda^nz$

Integral Over Homotopic paths

homotopy groups of product space

Cofibre sequence $S^n \rightarrow S^n \rightarrow M(\mathbb{Z}/p,n)$. When does $f$ induce multiplication by $p$ on homotopy groups?

Classifying continuous maps from closed 2-manifolds to various closed manifolds

Obstruction to lifting a map from the base space to the total space.

prove that elements in $K_1(A)$ coincide

The claim that $A \to X$ a cofibration implies $A \times I \to M_{A \to X}$ is an inclusion.

Homotopy between homeomorphism and the identity

Smooth homotopy between $\Bbb R^2-\{0\}$ and $S^1$

Partial Converse to "Pushout of a cofibration is a cofibration"

bottom map of pullback square is cofibration $\Rightarrow$top map is cofibration

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