List questions from eilenberg-maclane-spaces

Published on 26 Oct 2023 - 9:33

71

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Problem regarding the extension of a map from a closed subset of a locally compact separable metric space to where the target space is $K(G,n).$

Published on 08 Nov 2023 - 13:07

101

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Hatcher 4.2.19 homotopy group of skeleton of $K(G,1)$

Published on 25 Mar 2026 - 9:29

103

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Intuition for killing homology group

Published on 29 Nov 2023 - 15:22

40

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Presentations of smooth manifolds

Published on 25 Mar 2026 - 17:38

879

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$\pi_n(X^n)$ free Abelian?

Published on 03 Mar 2015 - 19:34

91

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Enumerating fiber bundles with fiber and base first Eilenberg-Maclane spaces

Published on 16 Mar 2015 - 11:41

538

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Explicit construction of Eilenberg-Maclane spaces with n=1

Published on 16 Mar 2015 - 12:18

268

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How to construct $K(\mathbb{Z}/5\mathbb{Z},1)$?

Published on 03 Apr 2015 - 0:42

133

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Proof of the isomorphism $[X, \mathbb{R} P^\infty] \cong H^1(X; \mathbb{Z}/2).$

Published on 25 Mar 2026 - 19:11

454

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"Cohomology classes correspond to homotopy classes of maps to Eilenberg Maclane spaces" and cup product?

Published on 18 Apr 2015 - 21:47

141

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Relation between cohomology of Eilenberg- MacLane space and product of projective space

Published on 11 May 2015 - 4:19

162

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Eilenberg–Maclane space: nonvanishing cohomology

Published on 22 May 2015 - 14:46

1.2k

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Is there an analogue of Eilenberg-Maclane spaces for homology?

Published on 29 May 2015 - 20:43

196

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Why is $H^(K(\pi, 1); A) \cong \text{Ext}^_{\mathbb{Z}[\pi]}(\mathbb{Z}, A)$?

Published on 01 Sep 2015 - 22:18

List Question

Why is a finite field considered an étale Eilenberg-Maclane Space?

Problem regarding the extension of a map from a closed subset of a locally compact separable metric space to where the target space is $K(G,n).$

Hatcher 4.2.19 homotopy group of skeleton of $K(G,1)$

Intuition for killing homology group

Presentations of smooth manifolds

$\pi_n(X^n)$ free Abelian?

Enumerating fiber bundles with fiber and base first Eilenberg-Maclane spaces

Explicit construction of Eilenberg-Maclane spaces with n=1

How to construct $K(\mathbb{Z}/5\mathbb{Z},1)$?

Proof of the isomorphism $[X, \mathbb{R} P^\infty] \cong H^1(X; \mathbb{Z}/2).$

"Cohomology classes correspond to homotopy classes of maps to Eilenberg Maclane spaces" and cup product?

Relation between cohomology of Eilenberg- MacLane space and product of projective space

Eilenberg–Maclane space: nonvanishing cohomology

Is there an analogue of Eilenberg-Maclane spaces for homology?

Why is $H^(K(\pi, 1); A) \cong \text{Ext}^_{\mathbb{Z}[\pi]}(\mathbb{Z}, A)$?

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