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Charts for a real vector bundle

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#manifolds #differential-topology #vector-bundles
497
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Proper smooth map has its regular values an open set

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#differential-geometry #differential-topology
1k
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Complex Manifold Basic Books

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#linear-algebra #general-topology #manifolds #differential-topology #geometric-topology
200
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Can smooth manifold have a corner

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#differential-geometry #differential-topology
357
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Proof of an existance of a finite atlas for a smooth manifold

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#reference-request #differential-topology
163
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Push vector field from Euclidean space to tangent space of manifold via charts

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#geometry #differential-geometry #derivatives #manifolds #differential-topology
2.9k
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Are Cartesian and spherical coordinates smoothly compatible? And is the transition map a global diffeomorphism?

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#differential-topology #smooth-manifolds #spherical-coordinates
38
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Connected sum of pairs

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#differential-topology
101
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Do smooth manifolds admit smooth metric structures?

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#manifolds #differential-topology #smooth-manifolds
814
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Construction of $T^2$ and Klein bottle

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#general-topology #algebraic-topology #differential-topology #riemannian-geometry #geometric-topology
85
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History: Line with two origins

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#reference-request #manifolds #differential-topology #math-history
111
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How to translate geometric intuitions about vector fields into algebraic equations

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#differential-geometry #manifolds #differential-topology #geometric-topology #vector-fields
1.8k
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A local diffeomorphism can map a boundary point to an interior point

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#differential-geometry #differential-topology #smooth-manifolds #manifolds-with-boundary
39
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Extending maps from boundaries over the handlebodies - 3/4D case

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#algebraic-topology #differential-topology #geometric-topology
433
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Is a map with invertible differential that maps boundary to boundary a local diffeomorphism?

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#differential-geometry #differential-topology #smooth-manifolds #manifolds-with-boundary

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