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What is the domain and image of the composition of mappers in a manifold

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#general-topology #functions #manifolds #function-and-relation-composition
425
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Differentiability of a function on a manifold is independent of the coordinate chart

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#calculus #differential-geometry #manifolds
1k
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Bundle metric and connection on trivial vector bundle

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#differential-geometry #manifolds
178
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Variation on Stokes Theorem for Manifolds (2)

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#integration #differential-geometry #manifolds #closed-form
845
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Why is a klein Bottle 4-D?

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#geometry #differential-geometry #manifolds #klein-bottle
924
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Is every hypersurface in $\mathbb{R}^n$ the boundary of an open domain?

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#differential-geometry #partial-differential-equations #manifolds
444
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Why do a set of continuous transformations form a manifold?

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#differential-geometry #manifolds #transformation
271
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Connected manifold with disconnected boundary?

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#manifolds
1.6k
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Non-compact manifold with compact boundary

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#manifolds
202
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What are Carnot groups?

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#analysis #derivatives #manifolds #lie-groups #riemannian-geometry
367
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Neighbourhood in a manifold is open

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#manifolds
618
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A question regarding Jacobi fields and families of geodesics

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#differential-geometry #derivatives #vector-spaces #manifolds #riemannian-geometry
427
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Topology of $L^2$ space

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#general-topology #manifolds #lp-spaces
315
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How to prove 2x2 rotation matrix is a manifold

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#matrices #manifolds
1.6k
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The singular homology and cohomology of manifolds vanishes in high dimensions

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#reference-request #algebraic-topology #manifolds #homology-cohomology

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