Question

Is $ S = \{(x,y) \in \mathbb{R}^2 \colon x^2 = y^3\} $ an immersed submanifold of $\mathbb{R}^2$?

score 1.1k · Answer 1 · 2026-04-15 04:38:47

1.1k

Views

Is $ S = \{(x,y) \in \mathbb{R}^2 \colon x^2 = y^3\} $ an immersed submanifold of $\mathbb{R}^2$?

Published on 15 Apr 2026 - 4:38

score 432 · Answer 2 · 2026-03-27 13:19:20

432

Views

$\mathbb S^2$ or $\mathbb RP^2$ on boundary of a 3-manifold

Published on 27 Mar 2026 - 13:19

score 119 · Answer 3 · 2026-03-28 12:33:32

119

Views

If the intersection number of two submanifolds is zero, we can deform them so that they are disjoint.

Published on 28 Mar 2026 - 12:33

score 439 · Answer 4 · 2026-04-13 16:25:40

439

Views

Show that $S^n \times R$ is parallelizable for all n

Published on 13 Apr 2026 - 16:25

score 493 · Answer 5 · 2026-04-15 18:36:12

493

Views

Normal bundle of a submanifold defined by a submersion

Published on 15 Apr 2026 - 18:36

score 224 · Answer 6 · 2026-04-13 06:39:41

224

Views

Coincidence of different definitions of Lefschetz number

Published on 13 Apr 2026 - 6:39

score 198 · Answer 7 · 2026-04-16 03:51:43

198

Views

$G$ a Lie group, $V, S$ submanifolds of $G$ containing $e$, $\psi : V \times S \rightarrow G$; $\psi(v,s)=vs$, then $d\psi(X,0)=X$ and $d\psi(0,Y)=Y$

Published on 16 Apr 2026 - 3:51

score 117 · Answer 8 · 2026-04-10 13:25:50

117

Views

Homotoping a Morse function to put all of the critical points on the boundary

Published on 10 Apr 2026 - 13:25

score 133 · Answer 9 · 2026-04-13 10:02:56

133

Views

Grassmanian of k-plane in R^n

Published on 13 Apr 2026 - 10:02

score 560 · Answer 10 · 2026-04-10 18:45:19

560

Views

Understanding how the Thurston Geometrization conjecture implies the Poincaré conjecture.

Published on 10 Apr 2026 - 18:45

score 1.6k · Answer 11 · 2026-04-14 22:00:29

1.6k

Views

Trivial normal bundle $NS$ equivalence

Published on 14 Apr 2026 - 22:00

score 299 · Answer 12 · 2026-04-09 17:13:26

299

Views

Confusion about Tangent vs Cotangent differentials

Published on 09 Apr 2026 - 17:13

score 634 · Answer 13 · 2026-03-27 09:48:18

634

Views

Minimal prerequisite to understand De Rham Cohomology

Published on 27 Mar 2026 - 9:48

score 63 · Answer 14 · 2026-04-10 14:22:49

63

Views

Finding tangent plane to $2$ dimensional submanifold of $\mathbb{R}^4$

Published on 10 Apr 2026 - 14:22

score 167 · Answer 15 · 2026-04-16 19:56:30

167

Views

Do smooth embeddings preserve quotient bundles?

Published on 16 Apr 2026 - 19:56

List Question

Is $ S = \{(x,y) \in \mathbb{R}^2 \colon x^2 = y^3\} $ an immersed submanifold of $\mathbb{R}^2$?

$\mathbb S^2$ or $\mathbb RP^2$ on boundary of a 3-manifold

If the intersection number of two submanifolds is zero, we can deform them so that they are disjoint.

Show that $S^n \times R$ is parallelizable for all n

Normal bundle of a submanifold defined by a submersion

Coincidence of different definitions of Lefschetz number

$G$ a Lie group, $V, S$ submanifolds of $G$ containing $e$, $\psi : V \times S \rightarrow G$; $\psi(v,s)=vs$, then $d\psi(X,0)=X$ and $d\psi(0,Y)=Y$

Homotoping a Morse function to put all of the critical points on the boundary

Grassmanian of k-plane in R^n

Understanding how the Thurston Geometrization conjecture implies the Poincaré conjecture.

Trivial normal bundle $NS$ equivalence

Confusion about Tangent vs Cotangent differentials

Minimal prerequisite to understand De Rham Cohomology

Finding tangent plane to $2$ dimensional submanifold of $\mathbb{R}^4$

Do smooth embeddings preserve quotient bundles?

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