Question

Based regular G-covers and homomorphisms $\pi_1(B,b) \to G$

score 72 · Answer 1 · 2026-03-25 06:11:00

72

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Based regular G-covers and homomorphisms $\pi_1(B,b) \to G$

Published on 25 Mar 2026 - 6:11

score 69 · Answer 2 · 2026-03-12 05:05:09

69

Views

homotopy of homeomorphism of increasing functions.

Published on 12 Mar 2026 - 5:05

score 2k · Answer 3 · 2018-02-16 10:16:52

2k

Views

Non-contractible space with trivial homotopy groups

Published on 16 Feb 2018 - 10:16

score 96 · Answer 4 · 2018-02-16 14:55:42

96

Views

Induced isomorphism of cohomology group implies induced isomorphism of cohomology with any coefficient

Published on 16 Feb 2018 - 14:55

score 141 · Answer 5 · 2018-02-16 17:17:27

141

Views

an extension for one of two homotopic maps implies the existence of a homotopic extension for another map.

Published on 16 Feb 2018 - 17:17

score 60 · Answer 6 · 2018-02-17 05:23:25

60

Views

Let $C$ be a space such that $C=A \cup B$ and $A \cap B ↪ A$ is a cofibration. Show that $B ↪C$ is a cofibration.

Published on 17 Feb 2018 - 5:23

score 403 · Answer 7 · 2026-03-25 04:36:40

403

Views

Homology calculation using Mayer Vietoris sequences

Published on 25 Mar 2026 - 4:36

score 107 · Answer 8 · 2026-03-25 03:07:13

107

Views

Showing Homology Sequence breaks up into short sequences that split

Published on 25 Mar 2026 - 3:07

score 983 · Answer 9 · 2018-02-18 10:31:53

983

Views

A surface of genus g is not homotopy equivalent to a wedge sum of CW-complexes

Published on 18 Feb 2018 - 10:31

score 58 · Answer 10 · 2018-02-18 18:06:35

58

Views

confusion with an example in Munkres

Published on 18 Feb 2018 - 18:06

score 995 · Answer 11 · 2026-03-25 08:13:41

995

Views

Prove that $\pi_1(X\times Y, (x_0,y_0))$ is isomorphic to $\pi_1(X,x_0)\times \pi_1(Y,y_0)$.

Published on 25 Mar 2026 - 8:13

score 449 · Answer 12 · 2026-03-25 13:33:23

449

Views

Exercises 1.1.5 Algebraic Topology by Allen Hatcher

Published on 25 Mar 2026 - 13:33

score 108 · Answer 13 · 2026-03-23 09:57:42

108

Views

If $(X, \Gamma)$ is a cell complex and $e \in \Gamma$, then the image of a characteristic map for $e$ equals its closure

Published on 23 Mar 2026 - 9:57

score 110 · Answer 14 · 2026-03-17 00:12:32

110

Views

Homotopy equivalent prove

Published on 17 Mar 2026 - 0:12

score 359 · Answer 15 · 2026-03-22 21:39:55

359

Views

Uniqueness of free product

Published on 22 Mar 2026 - 21:39

List Question

Based regular G-covers and homomorphisms $\pi_1(B,b) \to G$

homotopy of homeomorphism of increasing functions.

Non-contractible space with trivial homotopy groups

Induced isomorphism of cohomology group implies induced isomorphism of cohomology with any coefficient

an extension for one of two homotopic maps implies the existence of a homotopic extension for another map.

Let $C$ be a space such that $C=A \cup B$ and $A \cap B ↪ A$ is a cofibration. Show that $B ↪C$ is a cofibration.

Homology calculation using Mayer Vietoris sequences

Showing Homology Sequence breaks up into short sequences that split

A surface of genus g is not homotopy equivalent to a wedge sum of CW-complexes

confusion with an example in Munkres

Prove that $\pi_1(X\times Y, (x_0,y_0))$ is isomorphic to $\pi_1(X,x_0)\times \pi_1(Y,y_0)$.

Exercises 1.1.5 Algebraic Topology by Allen Hatcher

If $(X, \Gamma)$ is a cell complex and $e \in \Gamma$, then the image of a characteristic map for $e$ equals its closure

Homotopy equivalent prove

Uniqueness of free product

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