List questions from differential-topology

Published on 12 Apr 2026 - 23:28

58

Views

Homologically-trivial codimension-2 submanifolds must bound codimension-1 submanifolds

Published on 16 Apr 2026 - 0:05

61

Views

If $0$ is the unique critical value of $f$, than, with $ab>0$, $f^{-1}(a)$ and $f^{-1}(b)$ are diffeomorphics

Published on 15 Apr 2026 - 16:13

112

Views

Geodesics on a simplicial complex compared to the underlying manifold

Published on 13 Apr 2026 - 16:13

82

Views

Is the closure of the region bounded by a piecewise $C^1$ Jordan curve $C^1$-diffeomorphic to a polygon?

Published on 15 Apr 2026 - 7:48

551

Views

Polynomial map on sphere is smooth

Published on 13 Apr 2026 - 20:51

621

Views

Textbooks for learning: Lie algebra, topology, and differential geometry?

Published on 15 Apr 2026 - 13:46

347

Views

Question on Reeb's theorem.

Published on 12 Apr 2026 - 21:34

51

Views

Implicit equation for the image of immersion $(\cosh(t),\sinh(t))$

Published on 13 Apr 2026 - 20:03

132

Views

Image of set of critical points is closed and has empty interior.

Published on 16 Apr 2026 - 4:34

202

Views

differential of the projection is itself

Published on 14 Apr 2026 - 21:05

38

Views

Transversality at a single point. A stable class.

Published on 17 Apr 2026 - 15:24

87

Views

Construct $f$ such that $\partial X=f^{-1}(0)$

Published on 15 Apr 2026 - 14:07

50

Views

Problems calculating the degree of the antipodal map using the integral definition of degree.

Published on 11 Apr 2026 - 18:47

567

Views

Differential of the product smooth map from arbitrary manifold

Published on 16 Apr 2026 - 12:39

List Question

Embedding a disc in a simply connected surface

Homologically-trivial codimension-2 submanifolds must bound codimension-1 submanifolds

If $0$ is the unique critical value of $f$, than, with $ab>0$, $f^{-1}(a)$ and $f^{-1}(b)$ are diffeomorphics

Geodesics on a simplicial complex compared to the underlying manifold

Is the closure of the region bounded by a piecewise $C^1$ Jordan curve $C^1$-diffeomorphic to a polygon?

Polynomial map on sphere is smooth

Textbooks for learning: Lie algebra, topology, and differential geometry?

Question on Reeb's theorem.

Implicit equation for the image of immersion $(\cosh(t),\sinh(t))$

Image of set of critical points is closed and has empty interior.

differential of the projection is itself

Transversality at a single point. A stable class.

Construct $f$ such that $\partial X=f^{-1}(0)$

Problems calculating the degree of the antipodal map using the integral definition of degree.

Differential of the product smooth map from arbitrary manifold

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