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Intuition of de rham cohomology

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#differential-geometry #manifolds #homology-cohomology #smooth-manifolds #differential-forms
82
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Compact submanifold has no global parametrization

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#real-analysis #manifolds
30
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Isomorphism between $H^{1}(S)$ and $Hom(\pi_{1}(S,s_{0}),\Bbb{R})$

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#manifolds
280
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Computing global stable and unstable manifolds of an autonomous vector field on the plane

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#ordinary-differential-equations #manifolds #systems-of-equations #stability-in-odes
215
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Differentiable manifolds: Definition of charts

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#manifolds
453
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Kernel and Lie-bracket of 1-forms

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#manifolds #differential-forms #exterior-algebra
399
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Normally Hyperbolic Invariant Manifolds: what are the splitting rates?

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#ordinary-differential-equations #manifolds #differential-topology #dynamical-systems #smooth-manifolds
574
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continuous bijective maps between manifolds

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#general-topology #differential-geometry #manifolds
467
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Manifold not orientable

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#general-topology #differential-geometry #manifolds #connectedness
344
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parallel vector field geodesic parallel coordinates

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#differential-geometry #manifolds
4.8k
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On the wedge product of forms

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#manifolds #differential-forms
2.1k
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Is the topologist's sine curve a manifold?

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#general-topology #manifolds
260
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Can every manifold be covered by compact sets?

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#general-topology #manifolds
182
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Closed Submanifolds (Constant Rank Theorem)

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#differential-geometry #manifolds #systems-of-equations #matrix-rank
492
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Stable and Unstable Subspaces under Diffeomorhpism (Hyperbolic dynamics)

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#manifolds #dynamical-systems

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