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Induced map between a space and an Eilenberg Maclane space

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Group structure on Eilenberg-MacLane spaces

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Finite dimensional Eilenberg-Maclane spaces

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Is the quotient of a $K(\pi,1)$ by a discrete subset still an Eilenberg-MacLane space?

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Loopspace of Eilenberg Mac Lane space

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866
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Is $K(G,1) = BG$?

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53
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$K(G,n) \otimes K(G',n) \to K(G \times G',n)$

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234
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Explicit realization of Eilenberg-MacLane spaces and TOP/PL

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261
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understanding construction and definition of classifying space BG

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246
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K(G,1) space is unique up to homotopy equivalence

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#algebraic-topology #cw-complexes #eilenberg-maclane-spaces
179
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group cohomology and singular cohomology for $K(G,1)$

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#algebraic-topology #homology-cohomology #group-cohomology #eilenberg-maclane-spaces
91
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Two proper maps inducing same map at the level of fundamental groups are properly homotopic

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#algebraic-topology #homotopy-theory #surfaces #cw-complexes #eilenberg-maclane-spaces
135
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Group cohomology as cohomology of a K(G,1) CW-complex

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93
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Relationship among $BG, K(G,1)$ and Čech cohomology

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#homology-cohomology #sheaf-cohomology #principal-bundles #classifying-spaces #eilenberg-maclane-spaces
428
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Torsion in the integral (co)homology of Eilenberg-MacLane spaces

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