List questions from differential-topology

Published on 28 Mar 2026 - 1:46

147

Views

Cutting a torus enough times disconnects it

Published on 23 Oct 2014 - 9:54

476

Views

About the term $-\nabla_{[u,v]}w$ in the definition of Riemann curvature tensor

Published on 25 Mar 2026 - 20:11

37

Views

Prove existence of trajectory on $\mathbb{R}^2$

Published on 23 Oct 2014 - 23:00

281

Views

Edited: Proper nonsingular smooth map between connected manifolds is a covering map

Published on 23 Oct 2014 - 23:47

495

Views

Embedding vs embedding as a closed subset

Published on 01 Apr 2026 - 6:02

1k

Views

isotopy of homeomorphisms of a torus

Published on 28 Mar 2026 - 0:56

257

Views

Intuition about Morse functions

Published on 25 Mar 2026 - 17:27

160

Views

Using the results of the local immersion/submersion theorems on manifolds

Published on 27 Oct 2014 - 12:50

488

Views

Lie algebras of vector fields over $\mathbb{R}$ and over $S^1$

Published on 28 Mar 2026 - 7:44

3.9k

Views

$\mathbb{C}P^1$ diffeomorphic to $S^2$

Published on 28 Oct 2014 - 16:51

271

Views

Show that there exist a compact manifold with boundary $W$ in $Y \times I$ such that $\partial W= X\times \{0\} \cup Z \times \{1\}$

Published on 28 Oct 2014 - 20:42

157

Views

Are $C^\infty$ exotic spheres $C^k$ exotic?

Published on 29 Oct 2014 - 22:50

1k

Views

Diffeomorphism from level set onto $S^2$

Published on 30 Oct 2014 - 3:10

1.2k

Views

Wedge product = set intersection?

Published on 26 Mar 2026 - 3:09

List Question

Tangent Bundles to manifolds

Cutting a torus enough times disconnects it

About the term $-\nabla_{[u,v]}w$ in the definition of Riemann curvature tensor

Prove existence of trajectory on $\mathbb{R}^2$

Edited: Proper nonsingular smooth map between connected manifolds is a covering map

Embedding vs embedding as a closed subset

isotopy of homeomorphisms of a torus

Intuition about Morse functions

Using the results of the local immersion/submersion theorems on manifolds

Lie algebras of vector fields over $\mathbb{R}$ and over $S^1$

$\mathbb{C}P^1$ diffeomorphic to $S^2$

Show that there exist a compact manifold with boundary $W$ in $Y \times I$ such that $\partial W= X\times \{0\} \cup Z \times \{1\}$

Are $C^\infty$ exotic spheres $C^k$ exotic?

Diffeomorphism from level set onto $S^2$

Wedge product = set intersection?

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