List questions from diffeomorphism

Published on 24 Mar 2026 - 22:08

42

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

Published on 13 Aug 2019 - 13:55

520

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Fiber-preserving diffeomorphism

Published on 01 Sep 2019 - 17:16

88

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

Published on 06 Sep 2019 - 15:00

272

Views

Smoothness of composition of possibly non-smooth functions

Published on 11 Sep 2019 - 0:36

129

Views

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 22 Mar 2026 - 14:14

205

Views

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

Published on 17 Sep 2019 - 13:23

1.2k

Views

Paraboloid is diffeomorphic to a plane

Published on 17 Sep 2019 - 13:24

72

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Question about diffeomorphisms of tungent bundles.

Published on 19 Sep 2019 - 20:06

225

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Verify that stable and unstable manifolds transversal .

Published on 21 Sep 2019 - 3:58

345

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

Published on 21 Sep 2019 - 17:54

30

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

Published on 23 Sep 2019 - 19:40

281

Views

Start of the proof of the Poincaré Lemma

Published on 29 Aug 2014 - 9:21

1.6k

Views

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

Published on 01 Mar 2026 - 16:32

252

Views

J. Milnor: smooth manifold triad vs cobordism

Published on 04 Oct 2019 - 14:33

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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