List questions from cw-complexes

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Proposition A.1 in Hatcher's AT, the last sentence

Published on 09 Feb 2021 - 2:31

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Isomorphism between homotopy groups of CW-complexes

Published on 25 Mar 2026 - 12:24

946

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Does every finite $CW$ complex have the homotopy type of a smooth manifold? How about infinite $CW$ complexes?

Published on 10 Feb 2021 - 3:13

169

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Equivalent versions of the Mayer-Vietoris axiom in Brown theorem

Published on 26 Mar 2026 - 1:03

98

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Telescope of CW-complexes

Published on 11 Feb 2021 - 16:19

293

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Does this functor commute with inverse limits?

Published on 26 Mar 2026 - 2:44

104

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Homotopy equivalence between pointed CW-complexes

Published on 14 Feb 2021 - 21:10

363

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What manifolds $M$ have a $CW-$structure so that the $n-$skeleton, $M_n$, is a manifold for all $n$ aswell?

Published on 15 Feb 2021 - 0:36

76

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Connected sum of handlebodies has the homotopy type of a $1$-dimensional CW-complex

Published on 28 Mar 2026 - 0:49

508

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Cell structure on the Klein bottle in $\Bbb R^3$ with deleted open disk bounded by the circle of self-intersection.

Published on 01 Mar 2021 - 12:32

699

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Subcomplex is closed

Published on 06 Mar 2021 - 16:38

211

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Examples of isomorphic group presentations with homotopy NONequivalent complexes

Published on 11 Mar 2021 - 1:44

306

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Exercise about CW Complexes

Published on 22 Mar 2021 - 13:19

183

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Basepoint of a pointed CW-complex

Published on 26 Mar 2021 - 17:43

List Question

Strong deformation retraction between CW-complexes, Brown theorem proof

Proposition A.1 in Hatcher's AT, the last sentence

Isomorphism between homotopy groups of CW-complexes

Does every finite $CW$ complex have the homotopy type of a smooth manifold? How about infinite $CW$ complexes?

Equivalent versions of the Mayer-Vietoris axiom in Brown theorem

Telescope of CW-complexes

Does this functor commute with inverse limits?

Homotopy equivalence between pointed CW-complexes

What manifolds $M$ have a $CW-$structure so that the $n-$skeleton, $M_n$, is a manifold for all $n$ aswell?

Connected sum of handlebodies has the homotopy type of a $1$-dimensional CW-complex

Cell structure on the Klein bottle in $\Bbb R^3$ with deleted open disk bounded by the circle of self-intersection.

Subcomplex is closed

Examples of isomorphic group presentations with homotopy NONequivalent complexes

Exercise about CW Complexes

Basepoint of a pointed CW-complex

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