List questions from cw-complexes

Published on 28 Mar 2021 - 20:22

139

Views

Showing that cellular homology gives a chain complex

Published on 01 Apr 2021 - 23:19

212

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Incidence number $CW$ complex

Published on 02 Apr 2021 - 10:51

114

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$(K^n,K^{n-1})$ is a good pair

Published on 05 Apr 2021 - 20:09

91

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Is the pathspace of a CW complex locally compact?

Published on 07 Apr 2021 - 1:09

111

Views

Fundamental group of a connected CW-Complex, where we have an uncountable number of attaching maps

Published on 07 Apr 2021 - 7:26

346

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Cellular homology of $X\times S^n$

Published on 07 Apr 2021 - 11:44

65

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CW-complex with one n-cell s.t. $H_n(X)=0$

Published on 11 Apr 2021 - 14:35

234

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Mapping cone and quotient of homotopy groups

Published on 18 Apr 2021 - 21:20

240

Views

Every compact subset of a CW-complex is contained in a finite subcomplex: does this statement require choice?

Published on 20 Apr 2021 - 21:50

245

Views

Covering space of a CW is also a CW , case of finite sheets

Published on 24 Apr 2021 - 10:33

172

Views

Identification of product of two spheres from wedge of two spheres

Published on 05 May 2021 - 20:51

140

Views

Understanding proposition $A.3$ of Hatcher.

Published on 06 May 2021 - 16:37

659

Views

Torus as CW complex

Published on 07 May 2021 - 5:17

459

Views

Any compact subset $K$ of a CW-complex $X$ meets finitely many cells.

Published on 08 May 2021 - 8:36

List Question

Injective homomorphism between $H_n(\mathbb{D}^n,\mathbb{S}^{n-1}) \longmapsto H_n(X^{*},X)$

Showing that cellular homology gives a chain complex

Incidence number $CW$ complex

$(K^n,K^{n-1})$ is a good pair

Is the pathspace of a CW complex locally compact?

Fundamental group of a connected CW-Complex, where we have an uncountable number of attaching maps

Cellular homology of $X\times S^n$

CW-complex with one n-cell s.t. $H_n(X)=0$

Mapping cone and quotient of homotopy groups

Every compact subset of a CW-complex is contained in a finite subcomplex: does this statement require choice?

Covering space of a CW is also a CW , case of finite sheets

Identification of product of two spheres from wedge of two spheres

Understanding proposition $A.3$ of Hatcher.

Torus as CW complex

Any compact subset $K$ of a CW-complex $X$ meets finitely many cells.

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