List questions from differential-topology

Published on 10 May 2026 - 15:51

282

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Lemma 3 of the Milnor's Topology from the differentiable viewpoint.

Published on 10 May 2026 - 12:34

92

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Is defining map always a submersion? Why?

Published on 10 Apr 2026 - 20:20

262

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Injective application on compact manifold and some Euclidean Space.

Published on 11 Apr 2026 - 7:17

1k

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Proof of the General Position Lemma (an exercise from Guillemin-Pollack)

Published on 10 May 2026 - 13:08

385

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Problem with path connectedness in intersection number $\operatorname {mod} 2$

Published on 13 Apr 2026 - 18:06

1.6k

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Guillemin-Pollack: application of the Transversality Theorem

Published on 10 May 2026 - 10:21

598

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What does tell me this manifold is a circle?

Published on 10 May 2026 - 13:49

212

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Bump function, gluing diffeomorphisms

Published on 13 Apr 2026 - 16:58

143

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Is there a $31$-dimensional manifold with 496 differential structures?

Published on 07 May 2026 - 12:45

62

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Equivalence between a vector $v\in T_{p}(M)$ tangent to the fiber $\psi^{-1}(\psi(p))$ and $d\psi(v)=0$

Published on 16 Apr 2026 - 10:25

1k

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How one can calculate index from the figure of vector field?

Published on 14 Apr 2026 - 23:50

163

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Existence of a Hessian function for a critical point in a Manifold

Published on 13 Apr 2026 - 6:04

379

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A map $\phi:M\rightarrow N$ is smooth if and only if $g\in\mathfrak{F}(N)\implies g\circ\phi\in\mathfrak{F}(M)$

Published on 16 Apr 2026 - 22:26

59

Views

Equivalence between submersion and a particular coordinate system

Published on 09 Apr 2026 - 20:35

List Question

Can you please help on the mixed tensor definition in my textbook?

Lemma 3 of the Milnor's Topology from the differentiable viewpoint.

Is defining map always a submersion? Why?

Injective application on compact manifold and some Euclidean Space.

Proof of the General Position Lemma (an exercise from Guillemin-Pollack)

Problem with path connectedness in intersection number $\operatorname {mod} 2$

Guillemin-Pollack: application of the Transversality Theorem

What does tell me this manifold is a circle?

Bump function, gluing diffeomorphisms

Is there a $31$-dimensional manifold with 496 differential structures?

Equivalence between a vector $v\in T_{p}(M)$ tangent to the fiber $\psi^{-1}(\psi(p))$ and $d\psi(v)=0$

How one can calculate index from the figure of vector field?

Existence of a Hessian function for a critical point in a Manifold

A map $\phi:M\rightarrow N$ is smooth if and only if $g\in\mathfrak{F}(N)\implies g\circ\phi\in\mathfrak{F}(M)$

Equivalence between submersion and a particular coordinate system

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