List questions from eilenberg-maclane-spaces

Published on 26 Mar 2026 - 1:34

135

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Why Eilenberg Maclane spaces $K(G,n)$ are $(n-1)$ connected?

Published on 26 Mar 2026 - 1:28

94

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Problem 22.39(a) in " Modern classical homotopy Theory " by Jeffery Strom on pg.511.

Published on 25 Mar 2026 - 13:55

364

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What is the "natural homomorphism" in the definition of an essential manifold?

Published on 25 Mar 2026 - 12:50

198

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Wedge product of Eilenberg-MacLane spaces.

Published on 13 Apr 2026 - 7:13

243

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Homology and the reduced A-linearization of a space.

Published on 26 Mar 2026 - 1:34

1.6k

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Proof that classifying spaces for discrete groups are the Eilenberg-MacLane spaces

Published on 25 Mar 2026 - 11:10

124

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Calculating torsion in $\pi_i(S^{2n})$

Published on 27 Mar 2026 - 9:31

155

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Is There a Term for a Manifold K(G,1)?

Published on 27 Mar 2026 - 13:00

1.8k

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Is the classifying space $B^nG$ the Eilenberg-MacLane space $K(G, n)$?

Published on 25 Mar 2026 - 12:48

267

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Is it possible to recover the Cartan-Leray Spectral Sequence for Group Cohomology from the Leray Spectral Sequence for Sheaf Cohomology?

Published on 25 Mar 2026 - 23:58

216

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Classifying Spaces of Matrix Lie Groups

Published on 27 Mar 2026 - 12:45

147

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Simple explicit example of higher Eilenberg-MacLane space

Published on 25 Mar 2026 - 14:21

109

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How precisely can one prescribe a map into an Eilenberg-MacLane space

Published on 26 Mar 2026 - 1:26

194

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How to prove that $\mathbb {CP}^\infty$ represents $H^2(-; \mathbb Z)$ without using a cell decomposition?

Published on 02 May 2026 - 10:07

List Question

Embedding a pointed topological space into a Eilenberg-MacLane space of its homology group

Why Eilenberg Maclane spaces $K(G,n)$ are $(n-1)$ connected?

Problem 22.39(a) in " Modern classical homotopy Theory " by Jeffery Strom on pg.511.

What is the "natural homomorphism" in the definition of an essential manifold?

Wedge product of Eilenberg-MacLane spaces.

Homology and the reduced A-linearization of a space.

Proof that classifying spaces for discrete groups are the Eilenberg-MacLane spaces

Calculating torsion in $\pi_i(S^{2n})$

Is There a Term for a Manifold K(G,1)?

Is the classifying space $B^nG$ the Eilenberg-MacLane space $K(G, n)$?

Is it possible to recover the Cartan-Leray Spectral Sequence for Group Cohomology from the Leray Spectral Sequence for Sheaf Cohomology?

Classifying Spaces of Matrix Lie Groups

Simple explicit example of higher Eilenberg-MacLane space

How precisely can one prescribe a map into an Eilenberg-MacLane space

How to prove that $\mathbb {CP}^\infty$ represents $H^2(-; \mathbb Z)$ without using a cell decomposition?

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