List questions from differential-topology

Published on 15 Apr 2026 - 17:53

158

Views

Insight on difference between Euler characteristics of 2 manifolds: $\chi(U)-\chi(V)$?

Published on 10 May 2026 - 16:57

298

Views

Sard's Theorem in one dimension

Published on 15 Apr 2026 - 2:07

116

Views

Trying to trivialize $T_pS^1$ "trivially"

Published on 13 Apr 2026 - 3:13

100

Views

Topological Manifolds and Physics: a rapid doubt on Hausdorff, Second-Countability and Paracompactness.

Published on 16 Apr 2026 - 6:12

76

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Morse-Bott Lemma in Hilbert Manifolds

Published on 15 Apr 2026 - 5:53

234

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Does an injective map stay injective under small smooth perturbations?

Published on 12 Apr 2026 - 9:50

151

Views

Question about the proof of Theorem 3.1 in Morse Theory – Milnor

Published on 13 Apr 2026 - 2:33

467

Views

Is there a smooth surjective map from a connected manifold onto a manifold with higher dimension?

Published on 13 Apr 2026 - 11:57

117

Views

Existence of a certain smooth function $\Bbb R\to \Bbb R$ whose derivative takes values in $(-1,0]$

Published on 13 Apr 2026 - 13:16

223

Views

Why is the domain of a parametrised curve given by an open interval?

Published on 14 Apr 2026 - 17:07

249

Views

Given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h = \Phi_1$?

Published on 11 Apr 2026 - 18:02

132

Views

Grassmanian is a manifold (Hirsch)

Published on 14 Apr 2026 - 8:18

488

Views

Question about the proof of Reeb's theorem in Milnor's Morse Theory

Published on 12 Apr 2026 - 19:35

117

Views

Existence of a coordinate system on an embedded submanifold in $\Bbb R^n$ satisfying a certain condition

Published on 13 Apr 2026 - 6:21

List Question

$4$-manifold with fundamental group $\Bbb Z/4\Bbb Z$

Insight on difference between Euler characteristics of 2 manifolds: $\chi(U)-\chi(V)$?

Sard's Theorem in one dimension

Trying to trivialize $T_pS^1$ "trivially"

Topological Manifolds and Physics: a rapid doubt on Hausdorff, Second-Countability and Paracompactness.

Morse-Bott Lemma in Hilbert Manifolds

Does an injective map stay injective under small smooth perturbations?

Question about the proof of Theorem 3.1 in Morse Theory – Milnor

Is there a smooth surjective map from a connected manifold onto a manifold with higher dimension?

Existence of a certain smooth function $\Bbb R\to \Bbb R$ whose derivative takes values in $(-1,0]$

Why is the domain of a parametrised curve given by an open interval?

Given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h = \Phi_1$?

Grassmanian is a manifold (Hirsch)

Question about the proof of Reeb's theorem in Milnor's Morse Theory

Existence of a coordinate system on an embedded submanifold in $\Bbb R^n$ satisfying a certain condition

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