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References for classifying spaces and cohomology of classifying spaces

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#reference-request #homology-cohomology #classifying-spaces
300
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explicit map of classifying spaces

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#algebraic-topology #homology-cohomology #group-cohomology #classifying-spaces
650
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Classifying space of a category / classifying space of a group

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#algebraic-topology #category-theory #classifying-spaces
523
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Is the classifying space of a non-compact Lie group equal the classifying space of the maximal compact subgroup?

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#algebraic-topology #lie-groups #homology-cohomology #group-cohomology #classifying-spaces
147
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How to compute sheaf cohomology of a classifying space?

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#algebraic-geometry #algebraic-topology #sheaf-cohomology #classifying-spaces #group-extensions
190
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Eilenberg–MacLane space for explicit group examples

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#algebraic-topology #manifolds #characteristic-classes #classifying-spaces #eilenberg-maclane-spaces
135
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Classifying spaces [related to Eilenberg–MacLane] for explicit group examples

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#general-topology #manifolds #classifying-spaces #eilenberg-maclane-spaces
327
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"Eilenberg-MacLane property" for the classifying space of a groupoid

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#algebraic-topology #homotopy-theory #classifying-spaces #groupoids
1.8k
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Classifying space $B$SU(n)

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#differential-geometry #algebraic-topology #differential-topology #geometric-topology #classifying-spaces
1.3k
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Eilenberg–MacLane space $K(\mathbb{Z}_2,n)$

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#algebraic-topology #differential-topology #geometric-topology #classifying-spaces #eilenberg-maclane-spaces
358
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If $H\leq G$, then $BH \to BG$ is a fiber bundle with fiber $G/H$

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#general-topology #algebraic-topology #fiber-bundles #principal-bundles #classifying-spaces
74
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Two notions of classifying space

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#general-topology #algebraic-topology #principal-bundles #classifying-spaces
279
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"2"-group cohomology

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#general-topology #algebraic-topology #homology-cohomology #classifying-spaces #eilenberg-maclane-spaces
268
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BO(-) example in Weiss Calculus

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#group-theory #algebraic-topology #grassmannian #classifying-spaces #stiefel-manifolds
209
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A direct proof of the Chern-Weil isomorphism

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#characteristic-classes #classifying-spaces #de-rham-cohomology

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