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15
185
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Natural bijection between equivariant maps and sections, Principal bundles

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#algebraic-topology #category-theory #fiber-bundles #principal-bundles
405
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The orbit space GL(n,R)/O(n)

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#fiber-bundles #orthogonal-matrices #linear-groups #general-linear-group
194
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Local triviality for the fiber bundles

Published on
#differential-topology #fiber-bundles
328
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Is the Hairy Ball Theorem equivalent to saying that the Hopf Fibration has no global sections?

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#general-topology #algebraic-topology #differential-topology #fiber-bundles #hopf-fibration
285
Views

Fiber Bundles over spheres

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#fiber-bundles
102
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Do the isomorphism classes of fiber bundles constitute a set?

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#set-theory #manifolds #fiber-bundles
193
Views

Help find mistake in conclusion about vector fields on principal bundle

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#differential-geometry #lie-groups #fiber-bundles #principal-bundles
124
Views

Can we detect non-trivial bundles using characteristic classes for a custom structure group?

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#algebraic-topology #fiber-bundles #characteristic-classes
142
Views

Question about group of automorphism of some $G$-structure.

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#differential-geometry #lie-groups #transformation #fiber-bundles #principal-bundles
55
Views

Contractible fibers implies $H^*(E) \cong H^*(B)$ for $p:E \rightarrow B$?

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#algebraic-topology #differential-topology #fiber-bundles
279
Views

Tangent bundle of a trivial bundle

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#differential-geometry #fiber-bundles #tangent-bundle
237
Views

Pulling back $\mathfrak g $-valued 1-forms

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#differential-geometry #differential-forms #fiber-bundles
736
Views

Section and pull-back bundle

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#differential-geometry #differential-forms #fiber-bundles
158
Views

Problem with equivalent definition of a integrable $G$-structure

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#differential-geometry #tensor-products #fiber-bundles #principal-bundles
570
Views

G-structure on fiber bundles

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#fiber-bundles

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