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When is $BG$ a topological group?

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#homotopy-theory #topological-groups #classifying-spaces
267
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Why is the fibration $BSO(n-1) \to BSO(n)$, $n-1$ connected?

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#homotopy-theory #classifying-spaces #cobordism
504
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Fiber bundle and fibration of classifying space

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#algebraic-topology #fiber-bundles #fibration #classifying-spaces
230
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Why is $BSO(n-1)$ the sphere bundle of the tautolocigal bundle on $BSO(n)$?

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#algebraic-topology #homotopy-theory #classifying-spaces
98
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What is the map from $H_j( \Sigma MSO(k)) \to H_{j-k}(BSO(k))$ on Tom Dieck page 537

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#algebraic-topology #homotopy-theory #classifying-spaces #cobordism
400
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Why are bordism groups of a point nontrivial

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#algebraic-topology #homotopy-theory #classifying-spaces #stable-homotopy-theory #cobordism
180
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The classifying space of open covers of a manifold

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#algebraic-topology #category-theory #manifolds #classifying-spaces
60
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Properness of isometric actions of discrete groups on affine Hilbert spaces

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#representation-theory #operator-theory #classifying-spaces #k-theory
188
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Which of these graphs are homotopic but not homeomorphic?

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#general-topology #graph-theory #homotopy-theory #geometric-topology #classifying-spaces
111
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Classifying spaces of different finite groups that are stably homotopy equivalent

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#algebraic-topology #classifying-spaces #stable-homotopy-theory
73
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Contradiction in spectral sequence calculation of $H_*(BO(2))$

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#algebraic-topology #grassmannian #spectral-sequences #classifying-spaces
200
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Classification of homotopy classes of lifts

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#algebraic-topology #classifying-spaces
686
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Connected sum $S_1$ # $S_2$ is commutative and associative

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#general-topology #algebraic-topology #surfaces #associativity #classifying-spaces
288
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What is the classifying space G/Top?

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#algebraic-topology #classifying-spaces #surgery-theory
1.9k
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Every principal $G$-bundle over a surface is trivial if $G$ is compact and simply connected: reference?

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#lie-groups #homotopy-theory #fiber-bundles #classifying-spaces

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