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15
216
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Principal $G$-bundle maps and sections of Associated Bundles

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#algebraic-topology #homotopy-theory #fiber-bundles #principal-bundles #classifying-spaces
231
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classifying space induces a equivalence of categories between PBun$_G(M)$ and $\Pi(M,BG)$ for finite groups $G$

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#algebraic-topology #finite-groups #principal-bundles #classifying-spaces #groupoids
188
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Trying to prove that classifying space(BG) is unique up to homotopy

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#algebraic-topology #homotopy-theory #covering-spaces #classifying-spaces
223
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Orientability of vector bundles and the map $BSO(n) \to BO(n)$

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#algebraic-topology #vector-bundles #classifying-spaces
64
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Connecting fiber sequences for classifying spaces

Published on
#reference-request #algebraic-topology #exact-sequence #classifying-spaces
156
Views

classifying space of the normalizer of maximal torus and borel construction

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#algebraic-topology #exact-sequence #classifying-spaces
50
Views

Construction of a Covering Space by 'Twisting'

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#general-topology #covering-spaces #principal-bundles #classifying-spaces
106
Views

Universal property of Classifying spaces encoded in $1$-cocycle of $EG \to BG$

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#general-topology #algebraic-topology #fiber-bundles #principal-bundles #classifying-spaces
90
Views

maps between classifying spaces of homotopy associative H-spaces

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#algebraic-topology #homotopy-theory #classifying-spaces
81
Views

Milnor's construction

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#algebraic-topology #topological-k-theory #classifying-spaces
157
Views

The Levi's decomposition in Lie theory and the problem of classification Lie algebras

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#lie-algebras #classifying-spaces
141
Views

Quotient by the action of a group commuting with sequential colimits

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#algebraic-topology #limits-colimits #principal-bundles #classifying-spaces
92
Views

Relationship among $BG, K(G,1)$ and Čech cohomology

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#homology-cohomology #sheaf-cohomology #principal-bundles #classifying-spaces #eilenberg-maclane-spaces
99
Views

Computing the automorphism group of a $G$-bundle on a connected manifold for a finite group $G.$

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#finite-groups #manifolds #automorphism-group #principal-bundles #classifying-spaces
239
Views

Algebraic torus over $\mathbb C$ and line bundle on its classifying space

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#algebraic-geometry #algebraic-topology #complex-geometry #classifying-spaces

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