List questions from differential-topology

Published on 10 Apr 2026 - 21:04

309

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Show that $\Delta$ is diffeomorphic to X, so $\Delta$ is a manifold if $X$ is. - "Differential topology" of Guillemin and Pollack

Published on 14 Apr 2026 - 10:20

133

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Subset of a smooth manifold

Published on 14 Apr 2026 - 19:04

3.6k

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Tangent space change of bases

Published on 11 Apr 2026 - 6:42

708

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The inverse of a smooth bundle map is smooth.

Published on 15 Apr 2026 - 9:34

151

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solubility of nonlinear overdetermined PDE for holonomic scaling of a frame

Published on 16 Apr 2026 - 15:44

124

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Is a mapping a homeomorphism

Published on 13 Apr 2026 - 17:36

126

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A differentiable fiber bundle exists for any family of clutching functions.

Published on 11 Apr 2026 - 18:48

421

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Understanding Result on Non-Degenerate Critical Points

Published on 10 Apr 2026 - 8:12

131

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Grassmanians and boudaries of manifolds

Published on 25 Mar 2026 - 19:05

397

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De Rham cohomology of $T^n$ using Künneth formula and Chevalley-Eilenberg theorem.

Published on 11 Apr 2026 - 16:43

679

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Nonorientable manifolds being a boundaries

Published on 14 Apr 2026 - 1:57

1.6k

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Difficulties on proof of $\epsilon $-Neighborhood Theorem.

Published on 12 Apr 2026 - 1:34

293

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Differential forms in Physics

Published on 15 Apr 2026 - 20:48

1.9k

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Tautological line bundle over $\mathbb{RP}^n$ isomorphic to normal bundle? Also "splitting" of transition functions

Published on 14 Apr 2026 - 13:27

List Question

Proof of Reeb's theorem without using Morse Lemma

Show that $\Delta$ is diffeomorphic to X, so $\Delta$ is a manifold if $X$ is. - "Differential topology" of Guillemin and Pollack

Subset of a smooth manifold

Tangent space change of bases

The inverse of a smooth bundle map is smooth.

solubility of nonlinear overdetermined PDE for holonomic scaling of a frame

Is a mapping a homeomorphism

A differentiable fiber bundle exists for any family of clutching functions.

Understanding Result on Non-Degenerate Critical Points

Grassmanians and boudaries of manifolds

De Rham cohomology of $T^n$ using Künneth formula and Chevalley-Eilenberg theorem.

Nonorientable manifolds being a boundaries

Difficulties on proof of $\epsilon $-Neighborhood Theorem.

Differential forms in Physics

Tautological line bundle over $\mathbb{RP}^n$ isomorphic to normal bundle? Also "splitting" of transition functions

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