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What is an intuitive Geometrical explanation of a "sheaf?"

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#algebraic-geometry #algebraic-topology #manifolds #sheaf-theory #higher-category-theory
93
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Randers space and a Finsler space

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#differential-geometry #manifolds #definition #finsler-geometry
242
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Manifolds covered by finitely many charts

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#algebraic-topology #manifolds #fundamental-groups
23.9k
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What's new in higher dimensions?

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#geometry #soft-question #manifolds #big-list #visualization
432
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The number of charts needed to cover a compact manifold

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#manifolds #smooth-manifolds #compact-manifolds
983
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Calculate the pushforward of a vector field

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#manifolds #smooth-manifolds
334
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Finite generatedness of singular cohomology of compact manifolds

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#differential-geometry #algebraic-topology #manifolds #differential-topology #homology-cohomology
657
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Atlases on $S^{1}$?

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#differential-geometry #manifolds #proof-explanation
1.9k
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Show that the sphere $S^{n}$ is a closed embedded submanifold of $\Bbb{R}^{n+1}$

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#manifolds #smooth-manifolds #submanifold
485
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Smooth map that is a topological submersion but not a smooth submersion

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#manifolds #examples-counterexamples #smooth-manifolds
55
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Optimization on Lipschitz manifold

Published on
#optimization #manifolds
604
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Charts on the torus as a quotient of $\Bbb R^2$

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#general-topology #manifolds #differential-topology
176
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Guillemin-Pollack Exercise 1.5.3: Normal Intersections

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#linear-algebra #manifolds #differential-topology #smooth-manifolds #transversality
144
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'Projectivization' of a map, or applying the preimage theorem to a projective variety

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#abstract-algebra #algebraic-geometry #manifolds #differential-topology #smooth-manifolds
394
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Coordinate invariance of Jacobian?

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#multivariable-calculus #manifolds #riemannian-geometry

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