List questions from diffeomorphism

Published on 08 Jan 2019 - 21:52

12

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Meaning of $h_*$ complex map.

Published on 14 Jan 2019 - 16:26

19

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How do I determine which $V$ to exclude to obtain a Diffeomorphism

Published on 17 Jan 2019 - 19:32

50

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For all matrices A exists unique matrix B with $B^2=A$ in a sufficient neighborhood.

Published on 23 Mar 2026 - 19:41

73

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Show that if $\left|T\left(x\right)-T\left(y\right)\right|\geq c\left|x-y\right|$ then $v\left(T\left(E\right)\right)\geq c^{n}v\left(E\right)$

Published on 18 Jan 2019 - 19:31

229

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Diffeomorphism Preserves Tangency (Do Carmo 2.4.25)

Published on 11 Feb 2019 - 10:03

89

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Relation between the eigenvalues of matrices conjugated by a homeomorphism.

Published on 13 Feb 2019 - 0:22

123

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Showing that there is not a global diffeomorphism between unit quaternions and $\mathrm{SO}(3)$

Published on 17 Feb 2019 - 23:27

876

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Diffeomorphism Between Surfaces Preserves Orientability

Published on 24 Feb 2019 - 19:07

1.3k

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Show that embeddings, diffeomorphisms, etc. are stable classes of maps

Published on 24 Feb 2019 - 19:45

124

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Nonzero Jacobian implies diffeomorphism?

Published on 25 Feb 2019 - 11:09

939

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Diffeomorphism and homeomorphism between open ball and polydisc in $\mathbb{R}^n$

Published on 25 Feb 2019 - 14:03

288

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Diffeotopy group, Mapping Class group, Isometry group

Published on 25 Mar 2026 - 4:35

1.2k

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Prove that if $f$ is a diffeomorphism than its differential $D_{f}$ is an isomorphism

Published on 19 Mar 2026 - 23:04

217

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If $f$ is differentiable there exists a bijection $\phi\left(x\right)=x+cf\left(x\right)$ whose inverse is differentiable.

Published on 18 May 2019 - 17:08

List Question

Diffeomorphism between the unit ball to itself

Meaning of $h_*$ complex map.

How do I determine which $V$ to exclude to obtain a Diffeomorphism

For all matrices A exists unique matrix B with $B^2=A$ in a sufficient neighborhood.

Show that if $\left|T\left(x\right)-T\left(y\right)\right|\geq c\left|x-y\right|$ then $v\left(T\left(E\right)\right)\geq c^{n}v\left(E\right)$

Diffeomorphism Preserves Tangency (Do Carmo 2.4.25)

Relation between the eigenvalues of matrices conjugated by a homeomorphism.

Showing that there is not a global diffeomorphism between unit quaternions and $\mathrm{SO}(3)$

Diffeomorphism Between Surfaces Preserves Orientability

Show that embeddings, diffeomorphisms, etc. are stable classes of maps

Nonzero Jacobian implies diffeomorphism?

Diffeomorphism and homeomorphism between open ball and polydisc in $\mathbb{R}^n$

Diffeotopy group, Mapping Class group, Isometry group

Prove that if $f$ is a diffeomorphism than its differential $D_{f}$ is an isomorphism

If $f$ is differentiable there exists a bijection $\phi\left(x\right)=x+cf\left(x\right)$ whose inverse is differentiable.

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