List questions from classifying-spaces

Published on 05 Apr 2016 - 19:25

265

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Why is the fibration $BSO(n-1) \to BSO(n)$, $n-1$ connected?

Published on 27 Feb 2026 - 2:39

503

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Fiber bundle and fibration of classifying space

Published on 07 Apr 2016 - 12:51

229

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Why is $BSO(n-1)$ the sphere bundle of the tautolocigal bundle on $BSO(n)$?

Published on 08 Apr 2016 - 12:38

93

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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

Published on 23 Mar 2026 - 10:09

398

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Why are bordism groups of a point nontrivial

Published on 12 Apr 2016 - 23:32

179

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The classifying space of open covers of a manifold

Published on 13 Apr 2016 - 23:12

59

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Properness of isometric actions of discrete groups on affine Hilbert spaces

Published on 15 Apr 2016 - 2:50

187

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Which of these graphs are homotopic but not homeomorphic?

Published on 18 Apr 2016 - 17:20

111

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Classifying spaces of different finite groups that are stably homotopy equivalent

Published on 18 Apr 2016 - 20:06

72

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Contradiction in spectral sequence calculation of $H_*(BO(2))$

Published on 24 Apr 2016 - 23:41

199

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Classification of homotopy classes of lifts

Published on 13 May 2016 - 15:23

685

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Connected sum $S_1$ # $S_2$ is commutative and associative

Published on 25 May 2016 - 15:13

286

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What is the classifying space G/Top?

Published on 25 Mar 2026 - 10:58

1.9k

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Every principal $G$-bundle over a surface is trivial if $G$ is compact and simply connected: reference?

Published on 23 Apr 2013 - 12:57

List Question

When is $BG$ a topological group?

Why is the fibration $BSO(n-1) \to BSO(n)$, $n-1$ connected?

Fiber bundle and fibration of classifying space

Why is $BSO(n-1)$ the sphere bundle of the tautolocigal bundle on $BSO(n)$?

What is the map from $H_j( \Sigma MSO(k)) \to H_{j-k}(BSO(k))$ on Tom Dieck page 537

Why are bordism groups of a point nontrivial

The classifying space of open covers of a manifold

Properness of isometric actions of discrete groups on affine Hilbert spaces

Which of these graphs are homotopic but not homeomorphic?

Classifying spaces of different finite groups that are stably homotopy equivalent

Contradiction in spectral sequence calculation of $H_*(BO(2))$

Classification of homotopy classes of lifts

Connected sum $S_1$ # $S_2$ is commutative and associative

What is the classifying space G/Top?

Every principal $G$-bundle over a surface is trivial if $G$ is compact and simply connected: reference?

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