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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
432
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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
105
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Does smoothness on the interior and on the boundary (separately) imply smoothness?

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#differential-geometry #differential-topology #smooth-manifolds #manifolds-with-boundary #singularity
439
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Submersion Theorem for manifold with boundary

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#differential-geometry #manifolds-with-boundary
125
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Mobius band gluing construction

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#general-topology #geometry #manifolds #manifolds-with-boundary #mobius-band
301
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Long exact sequence for manifolds with boundary

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#algebraic-topology #manifolds #geometric-topology #manifolds-with-boundary
326
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Does Stokes hold? (Manifolds)

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#manifolds #smooth-manifolds #stokes-theorem #manifolds-with-boundary
379
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Manifolds with boundaries and partitions of unity

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#manifolds #smooth-manifolds #orientation #manifolds-with-boundary
434
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Is the boundary of every 2-manifold the disjoint union of circles?

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#general-topology #manifolds #compact-manifolds #manifolds-with-boundary
216
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Is there any necessarily NON-simply-connected bordism between compact 1-manifolds?

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#algebraic-topology #differential-topology #compact-manifolds #manifolds-with-boundary #cobordism
515
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There is no diffeomorphism between one quadrant in the plane and the half plane

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#multivariable-calculus #differential-topology #smooth-manifolds #manifolds-with-boundary
275
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A problem about diffeomorphism of two components of the boundary of a manifold.

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#smooth-manifolds #morse-theory #manifolds-with-boundary #cobordism
75
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Why are those two manifolds with boundary diffeomorphic to $D^2\times S^1$?

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#differential-geometry #manifolds #manifolds-with-boundary
506
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Is there a (what is the) intrinsic definition of boundary?

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#general-topology #differential-geometry #manifolds-with-boundary
306
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Manifold with boundary and boundary points?

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#proof-verification #manifolds-with-boundary

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