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Example of a homeomorphism that's not diffeomorphism

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#general-topology #differential-topology #diffeomorphism
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Geometric perspective to see that the Hopf-fibration is non-trivial.

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#differential-geometry #differential-topology
61
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Can a connected manifold with nonempty boundary be embedded into a connected manifold without boundary and with the same dimension?

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#differential-geometry #differential-topology
39
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On the Cohomology of Nilpotent Groups with coefficients in a infinite dimensional vector space

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#differential-topology #group-cohomology
146
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Milnor's proof of smooth, connected, 1-dimensional manifold characterization

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#general-topology #manifolds #differential-topology #smooth-manifolds
148
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why the regular value of a smooth map is everywhere dense?

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#general-topology #geometry #analysis #algebraic-topology #differential-topology
321
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Trace of induced map on cohomology

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#algebraic-topology #differential-topology #homology-cohomology #differential-forms
369
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Curvature of a Vector Bundle as a 2-form

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#differential-geometry #differential-topology #vector-bundles #curvature #connections
335
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Inverse Function Theorem and finding local inverses

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#real-analysis #analysis #differential-topology
73
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A non analytic set

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#complex-analysis #differential-topology
81
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Equivalence class relation for the associated bundle

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#differential-geometry #differential-topology #equivalence-relations #group-actions #fiber-bundles
167
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Local coordinate expression for the equations of motion in gauge theory

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#differential-geometry #differential-topology #mathematical-physics #gauge-theory
71
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What is a good reference to study Whitney stratification in English

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#differential-geometry #reference-request #differential-topology
534
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What is the local trivialization map for quotient vector bundle?

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#differential-geometry #manifolds #differential-topology #smooth-manifolds #vector-bundles
369
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Topological spaces, topological manifolds, and topological groups

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#general-topology #algebraic-topology #differential-topology #topological-groups #geometric-topology

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