List questions from diffeomorphism

Published on 12 Apr 2026 - 9:44

16

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Meaning of $h_*$ complex map.

Published on 09 Apr 2026 - 10:36

22

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

Published on 10 Apr 2026 - 4:55

52

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

Published on 25 Mar 2026 - 12:13

76

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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 16 Apr 2026 - 9:33

232

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Diffeomorphism Preserves Tangency (Do Carmo 2.4.25)

Published on 14 Apr 2026 - 12:44

92

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Relation between the eigenvalues of matrices conjugated by a homeomorphism.

Published on 17 Apr 2026 - 2:52

126

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

Published on 13 Apr 2026 - 18:47

879

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Diffeomorphism Between Surfaces Preserves Orientability

Published on 11 Apr 2026 - 6:09

1.3k

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

Published on 10 May 2026 - 15:45

127

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Nonzero Jacobian implies diffeomorphism?

Published on 14 Apr 2026 - 1:57

942

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

Published on 14 Apr 2026 - 6:09

289

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Diffeotopy group, Mapping Class group, Isometry group

Published on 10 May 2026 - 16:08

1.2k

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

Published on 25 Mar 2026 - 6:06

220

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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 17 Apr 2026 - 15:36

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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