List questions from differential-topology

Published on 16 Apr 2026 - 1:06

139

Views

Set of Proper immersion that are in general position is dense and open in $Imm^r_S(M,N), 1\leq r\leq \infty$

Published on 15 Apr 2026 - 20:46

79

Views

Function that gives $\operatorname{Gl}(n,\mathbb{R})$ as a deformation retract of $\operatorname{Diff}(\mathbb{R}^n)$

Published on 14 Apr 2026 - 1:39

513

Views

Every smooth vector field generates a smooth flow

Published on 13 Apr 2026 - 16:45

77

Views

When is the image of $\mathbb{R}^n$ a smooth submanifold?

Published on 14 Apr 2026 - 3:14

33

Views

Existence of proper self-map of Euclidean space whose image has non-zero co-dimension

Published on 16 Apr 2026 - 0:18

348

Views

Show that the symplectic group $\mathrm{Sp}(2n,\mathbb{C})$ is a closed sub group of $\mathrm{Gl}(2n,\mathbb{C})$

Published on 14 Apr 2026 - 17:05

92

Views

Vector Bundle definition compared to direct product

Published on 14 Apr 2026 - 13:44

398

Views

Splitting of the tangent bundle and Euler characteristic of surfaces

Published on 13 Apr 2026 - 10:13

70

Views

Relations between $K_3$ complex surface and $\mathbb{CP}^2$

Published on 15 Apr 2026 - 9:52

73

Views

all unoriented bordism groups are $\mathbb{Z}/2$s

Published on 11 May 2026 - 6:15

116

Views

Usefulness of compact boundary proving uniqueness in gluing smooth manifolds

Published on 10 Apr 2026 - 23:40

67

Views

Can we choose continuously the singular vectors of a smooth map?

Published on 12 Apr 2026 - 10:52

75

Views

Does a contractible manifold admit a vector field whose flow is a contraction?

Published on 13 Apr 2026 - 14:25

206

Views

Zero derivative for a map between connected manifolds (Unnecessary hypothesis?)

Published on 14 Apr 2026 - 6:07

List Question

Extension of a self-diffeomorphism of unit ball

Set of Proper immersion that are in general position is dense and open in $Imm^r_S(M,N), 1\leq r\leq \infty$

Function that gives $\operatorname{Gl}(n,\mathbb{R})$ as a deformation retract of $\operatorname{Diff}(\mathbb{R}^n)$

Every smooth vector field generates a smooth flow

When is the image of $\mathbb{R}^n$ a smooth submanifold?

Existence of proper self-map of Euclidean space whose image has non-zero co-dimension

Show that the symplectic group $\mathrm{Sp}(2n,\mathbb{C})$ is a closed sub group of $\mathrm{Gl}(2n,\mathbb{C})$

Vector Bundle definition compared to direct product

Splitting of the tangent bundle and Euler characteristic of surfaces

Relations between $K_3$ complex surface and $\mathbb{CP}^2$

all unoriented bordism groups are $\mathbb{Z}/2$s

Usefulness of compact boundary proving uniqueness in gluing smooth manifolds

Can we choose continuously the singular vectors of a smooth map?

Does a contractible manifold admit a vector field whose flow is a contraction?

Zero derivative for a map between connected manifolds (Unnecessary hypothesis?)

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