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Is it true that $K(G \ast H, 1) = K(G,1)\vee K(H,1) $?

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#algebraic-topology #homotopy-theory #eilenberg-maclane-spaces
84
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Confusion about Hurewicz isomorphism

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#homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
1.1k
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Specific examples of Eilenberg-Maclane spaces?

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#algebraic-topology #cw-complexes #eilenberg-maclane-spaces
118
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$[X,K(G,n)] = H^n(X;G)$ for non-CW-complex X?

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#eilenberg-maclane-spaces
227
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Free resolution of a group $G$ and the chain complex of the universal cover of $K(G,1)$

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#homology-cohomology #covering-spaces #fundamental-groups #cw-complexes #eilenberg-maclane-spaces
972
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Higher homology group of Eilenberg-Maclane space is trivial

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
630
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Eilenberg-Maclane space $K(G\rtimes H, 1)$ for a semi-direct product.

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#algebraic-topology #classifying-spaces #eilenberg-maclane-spaces
293
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An exercise in homology computation / What is the geometric fixed points of an Eilenberg Maclane Spectrum?

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#algebraic-topology #homological-algebra #eilenberg-maclane-spaces
351
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Is the homology theory given by Eilenberg Maclane spectrum equal to ordinary homology?

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
363
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smash product of Eilenberg-Maclane spaces

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#algebraic-topology #homotopy-theory #eilenberg-maclane-spaces
237
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What is the map $\Sigma K(G,n) \to K(G,n+1)$?

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#algebraic-topology #homotopy-theory #adjoint-operators #loop-spaces #eilenberg-maclane-spaces
598
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Twisted cohomology as sections of bundle of Eilenberg-Maclane spaces

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
534
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Theorem on space of maps to Eilenberg-Maclane space

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#algebraic-topology #homotopy-theory #eilenberg-maclane-spaces
1.4k
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homology of smash product of Eilenberg-Maclane spaces

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#general-topology #algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
61
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An Question related to calculating $H^4(K(\mathbb{Z}/2,2))$

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces

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