List questions from diffeomorphism

Published on 10 May 2026 - 11:40

45

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Determine the set of all the isomorphism classes of differentiable $M$-bundles over $X$

Published on 14 Apr 2026 - 11:34

523

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Fiber-preserving diffeomorphism

Published on 10 Apr 2026 - 17:53

91

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Is this a valid diffeomorphism of $SU(3)$?

Published on 12 Apr 2026 - 10:50

275

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Smoothness of composition of possibly non-smooth functions

Published on 14 Apr 2026 - 3:30

131

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If $|f'(t)| \leq k < 1$ for all $t$ then $\varphi(x, y) = (x + f(y), y + f(x))$ is a diffeomorphism of $\mathbb{R}^2$ onto itself

Published on 10 May 2026 - 18:59

208

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The surjectivity of a Lie group homomorphism $\phi:G\to H$ with $H$ connected.

Published on 09 Apr 2026 - 15:32

1.2k

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Paraboloid is diffeomorphic to a plane

Published on 15 Apr 2026 - 1:17

75

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Question about diffeomorphisms of tungent bundles.

Published on 14 Apr 2026 - 16:37

228

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Verify that stable and unstable manifolds transversal .

Published on 15 Apr 2026 - 7:09

348

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$f:\mathbb{R}^n\to\mathbb{R}^n$ is diffeomorphism iff $f$ is local diffeomorphism and proper map

Published on 16 Apr 2026 - 3:24

33

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Can I choose a chart satisfying a condition about linear combinations?

Published on 12 Apr 2026 - 5:39

284

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Start of the proof of the Poincaré Lemma

Published on 13 Apr 2026 - 14:25

1.6k

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Proving that the antipodal map $F : S^2 \to S^2$ defined by $F(p) = -p$ is a diffeomorphism

Published on 07 May 2026 - 11:33

254

Views

J. Milnor: smooth manifold triad vs cobordism

Published on 14 Apr 2026 - 14:27

List Question

Generalized functions transforming as 1/4-densities under diffeomorphisms

Determine the set of all the isomorphism classes of differentiable $M$-bundles over $X$

Fiber-preserving diffeomorphism

Is this a valid diffeomorphism of $SU(3)$?

Smoothness of composition of possibly non-smooth functions

If $|f'(t)| \leq k < 1$ for all $t$ then $\varphi(x, y) = (x + f(y), y + f(x))$ is a diffeomorphism of $\mathbb{R}^2$ onto itself

The surjectivity of a Lie group homomorphism $\phi:G\to H$ with $H$ connected.

Paraboloid is diffeomorphic to a plane

Question about diffeomorphisms of tungent bundles.

Verify that stable and unstable manifolds transversal .

$f:\mathbb{R}^n\to\mathbb{R}^n$ is diffeomorphism iff $f$ is local diffeomorphism and proper map

Can I choose a chart satisfying a condition about linear combinations?

Start of the proof of the Poincaré Lemma

Proving that the antipodal map $F : S^2 \to S^2$ defined by $F(p) = -p$ is a diffeomorphism

J. Milnor: smooth manifold triad vs cobordism

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