List questions from eilenberg-maclane-spaces | MathQA

Twisting Products in Hatcher's Algebraic Topology

Published on 03 Feb 2022 - 23:55

Can we use the algebraic definition of group cohomology for $H(BG, A)$ for compact Lie groups $G$?

Published on 26 Mar 2026 - 9:18

Construction of Eilenberg-Maclane Space

Published on 25 Mar 2026 - 17:18

If $K(G,1)$ and $K(H,1)$ are Eilenberg-MacLane spaces, show that $K(G\ast H,1)$ is also one.

Published on 12 May 2022 - 16:44

Functorial descripiton of Low Degree Cohomology of Eilenberg-MacLane spaces

Published on 09 Jun 2022 - 10:57

How did Thom calculate $MSO(k)$ using Silber's polyhedron in his 1954's paper?

Published on 25 Mar 2026 - 11:06

$\mathbb{C} \mathbb{P}^1$-bundles and $\mathbb{C}^\times$ bundles

Published on 12 Jul 2022 - 2:58

Principal $PU(\mathcal H)$-bundle from a principal $\mathbb Z$-bundle and a principal $S^1$-bundle.

Published on 12 Aug 2022 - 8:07

If $M$ is an $R$-module, how can I show that the Eilenberg-Maclane spectrum $HM$ is an $HR$-module spectrum

Published on 25 Mar 2026 - 23:39

Naturality of Puppe sequence

Published on 05 Sep 2022 - 10:10

Cohomology ring as a coefficient ring

Published on 25 Mar 2026 - 19:01