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Which is the correct universal line bundle: the tautological bundle or its dual?

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#complex-geometry #vector-bundles #classifying-spaces
519
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Cohomology of $\Bbb CP^{\infty}=BU_1, BU_2,\dots$ : A reference request

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#reference-request #homology-cohomology #classifying-spaces
569
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Classifying space of the reals

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#algebraic-topology #classifying-spaces
222
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The classifying space of a gauge group

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#algebraic-topology #group-actions #classifying-spaces #gauge-theory
279
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Can one apply the classifying space functor $B$ more than once?

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#classifying-spaces
3.8k
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The loop space of the classifying space is the group: $\Omega(BG) \cong G$

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#algebraic-topology #topological-groups #classifying-spaces
641
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Classifying space for finite-dimensional torus

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#algebraic-topology #classifying-spaces
150
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What are the non-degenerate faces of $N\mathbb{Z}_2$

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#category-theory #classifying-spaces
376
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Group Extension and Classifying Space

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#algebraic-topology #manifolds #classifying-spaces #compact-manifolds #group-extensions
267
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Why is this space aspherical?

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#algebraic-topology #homotopy-theory #classifying-spaces
390
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Creating a lift chart for a classification tree

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#regression #classifying-spaces #data-mining
1k
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Universal quotient bundles of $G(2,4)$ and $\mathbb{G}(1,\mathbb{P}^3)$

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#algebraic-geometry #classifying-spaces #grassmannian
1k
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A group-like topological monoid is a loop space

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#algebraic-topology #classifying-spaces
672
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Classifying map of tensor product of two line bundles

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#algebraic-topology #homotopy-theory #vector-bundles #classifying-spaces #stable-homotopy-theory
41
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Group cohomology homomorphism action under natural embedding $O(n) \times O(k) \to O(n+k)$

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#algebraic-topology #group-cohomology #classifying-spaces

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