List questions from eilenberg-maclane-spaces | MathQa

Homology of Eilenberg-MacLane $K(\pi,1)$ in terms of group homology and Tor

Published on 12 Jan 2025 - 21:34

Why is the cohomological $\delta$-functor for $H^\ast(K(\pi,1),–)$ effaceable?

Published on 12 Jan 2025 - 21:31

Eilenberg-MacLane Spaces $K(G,n)$: Construction!

Published on 12 Jan 2025 - 21:13

Cohomology of Eilenberg Maclane space

Published on 12 Jan 2025 - 21:14

Extend a map over a $n+1$-cell IFF $f_nϕ$ is nullhomotopic.

Published on 12 Jan 2025 - 21:24

$E_{p, 0}^2$ and $E_{0, 1}^2$ terms in sequence, in terms of homology of $K(G, 1)$, homology of $K(R, 1)$, and action of $G$ on $R$ by conjugation?

Published on 13 Jan 2025 - 6:28

When is $\Pi_{i\leq n} K(\pi_i(X), i)$ the nth base for a postnikov tower on $X$.

Published on 12 Jan 2025 - 21:30

Eilenberg-Mac Lane functor being an embedding

Published on 12 Jan 2025 - 21:16

Equivalence of $[X,K(\mathbb{Z},n)]$ and $\langle X,K(\mathbb{Z},n)\rangle$ when $X$ is a CW complex but not connected

Published on 12 Jan 2025 - 21:42

Concluding $\Bbb Z$-cohomology from $\Bbb Z_2$-cohomology using Bocksteins

Published on 12 Jan 2025 - 21:30