List questions from classifying-spaces

Published on 13 Jul 2015 - 7:11

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Is the classifying space a fully faithful functor?

Published on 30 Sep 2015 - 18:51

93

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Infinite torsion group with K(G,1) of finite type

Published on 03 Nov 2015 - 8:33

342

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Does a group homomorphism up to homotopy induce a map between classifying spaces?

Published on 03 Dec 2015 - 12:07

81

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Classifying vector bundles with a reduction of its structure group

Published on 09 Mar 2026 - 5:53

1.7k

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The oriented Grassmannian $\widetilde{\text{Gr}}(k,\mathbb{R}^n)$ is simply connected for $n>2$

Published on 13 Jan 2016 - 12:32

63

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Cohomology of a classifying space

Published on 02 Feb 2016 - 17:50

87

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Are there multiple non-isomorphic principal $G$-bundles on Euclidean space?

Published on 23 Mar 2026 - 10:08

826

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A category whose classifying space has nontrivial higher homotopy groups

Published on 22 Mar 2026 - 13:03

406

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Relation between two notions of $BG$

Published on 22 Mar 2026 - 3:48

669

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Classification of line bundles by group homomorphisms from the fundamental group to $\mathbb{Z}_2$

Published on 10 Mar 2016 - 3:59

1.1k

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Example of building a classifying space

Published on 23 Mar 2026 - 3:51

352

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classifying space of a category

Published on 23 Mar 2026 - 10:45

275

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Source request for $H^(B\mathrm{TOP},\mathbb{Q})\cong H^(BO,\mathbb{Q})$

Published on 28 Mar 2016 - 14:02

415

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How to compare the K-theory and singular cohomology of a classifying space

Published on 05 Apr 2016 - 1:46

List Question

configuration-spaces and iterated loop-spaces

Is the classifying space a fully faithful functor?

Infinite torsion group with K(G,1) of finite type

Does a group homomorphism up to homotopy induce a map between classifying spaces?

Classifying vector bundles with a reduction of its structure group

The oriented Grassmannian $\widetilde{\text{Gr}}(k,\mathbb{R}^n)$ is simply connected for $n>2$

Cohomology of a classifying space

Are there multiple non-isomorphic principal $G$-bundles on Euclidean space?

A category whose classifying space has nontrivial higher homotopy groups

Relation between two notions of $BG$

Classification of line bundles by group homomorphisms from the fundamental group to $\mathbb{Z}_2$

Example of building a classifying space

classifying space of a category

Source request for $H^(B\mathrm{TOP},\mathbb{Q})\cong H^(BO,\mathbb{Q})$

How to compare the K-theory and singular cohomology of a classifying space

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