Question

Mapping cylinder is a CW complex

score 3.6k · Answer 1 · 2026-04-12 14:43:21

3.6k

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Mapping cylinder is a CW complex

Published on 12 Apr 2026 - 14:43

score 797 · Answer 2 · 2026-04-12 08:56:10

797

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Can torsion in the fundamental group happen in "the real world"

Published on 12 Apr 2026 - 8:56

score 665 · Answer 3 · 2026-04-13 15:16:40

665

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Good source for a point set topological introduction to CW complexes?

Published on 13 Apr 2026 - 15:16

score 4.1k · Answer 4 · 2026-04-12 18:00:38

4.1k

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Fundamental group of a CW complex only depends on its $2$-skeleton

Published on 12 Apr 2026 - 18:00

score 386 · Answer 5 · 2026-03-26 16:04:17

386

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Proof of Morse inequalities?

Published on 26 Mar 2026 - 16:04

score 4.9k · Answer 6 · 2026-04-15 12:43:16

4.9k

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Homology of orientable surface of genus $g$

Published on 15 Apr 2026 - 12:43

score 2.5k · Answer 7 · 2026-04-10 21:16:26

2.5k

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Covering of orientable surface (Hatcher)

Published on 10 Apr 2026 - 21:16

score 467 · Answer 8 · 2026-04-20 15:08:37

467

Views

Is there anyway to define an Euler Characteristic for infinite CW complexes, like $\mathbb{R}P^{\infty}$?

Published on 20 Apr 2026 - 15:08

score 784 · Answer 9 · 2026-04-10 01:33:39

784

Views

existence of CW complex construction

Published on 10 Apr 2026 - 1:33

score 514 · Answer 10 · 2026-04-13 17:13:45

514

Views

The image of the boundary homomorphism in the long exact sequence of homology groups coincides with the image of Hurewicz map.

Published on 13 Apr 2026 - 17:13

score 265 · Answer 11 · 2026-04-12 02:17:56

265

Views

Homotopy Equivalence on the filtration of a CW-Complex

Published on 12 Apr 2026 - 2:17

score 1.1k · Answer 12 · 2026-04-14 09:26:22

1.1k

Views

An infinite dimensional CW complex always has infinitely many non-trivial homology groups?

Published on 14 Apr 2026 - 9:26

score 163 · Answer 13 · 2026-04-13 09:55:11

163

Views

Closure finiteness condition in the definition of the CW complex

Published on 13 Apr 2026 - 9:55

score 67 · Answer 14 · 2026-04-15 11:52:46

67

Views

(Homework) Find attaching maps for attaching $k$-cells to $ S^1 $, in order to obtain $D^2$, that are not isomorphic

Published on 15 Apr 2026 - 11:52

score 52 · Answer 15 · 2026-04-12 12:24:31

52

Views

Does homology send different attaching maps to morphisms differing at most by a sign?

Published on 12 Apr 2026 - 12:24

List Question

Mapping cylinder is a CW complex

Can torsion in the fundamental group happen in "the real world"

Good source for a point set topological introduction to CW complexes?

Fundamental group of a CW complex only depends on its $2$-skeleton

Proof of Morse inequalities?

Homology of orientable surface of genus $g$

Covering of orientable surface (Hatcher)

Is there anyway to define an Euler Characteristic for infinite CW complexes, like $\mathbb{R}P^{\infty}$?

existence of CW complex construction

The image of the boundary homomorphism in the long exact sequence of homology groups coincides with the image of Hurewicz map.

Homotopy Equivalence on the filtration of a CW-Complex

An infinite dimensional CW complex always has infinitely many non-trivial homology groups?

Closure finiteness condition in the definition of the CW complex

(Homework) Find attaching maps for attaching $k$-cells to $ S^1 $, in order to obtain $D^2$, that are not isomorphic

Does homology send different attaching maps to morphisms differing at most by a sign?

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