List questions from smooth-manifolds

Published on 26 Mar 2026 - 18:58

297

Views

Smoothness of the boundary is the only obstruction for being a submanifold with boundary?

Published on 26 Mar 2026 - 9:58

103

Views

k-form decomposition on MxR

Published on 14 Aug 2016 - 2:21

1k

Views

"Why" is $\mathbb{CP}^2\mathbin{\#}\mathbb{CP}^2$ not homeomorphic to $\mathbb{CP}^2\mathbin{\#}\overline{\mathbb{CP}^2}$?

Published on 06 Apr 2026 - 17:31

238

Views

When is a continuous map $f: M \longrightarrow N$ between smooth manifolds homotopic to a smooth one?

Published on 26 Mar 2026 - 13:00

875

Views

A $C^k$ manifolds ($k>1$) has a $C^\infty$ atlas: reference request

Published on 16 Aug 2016 - 22:16

98

Views

Why do this kind of tori are not manifold.

Published on 18 Aug 2016 - 0:05

122

Views

Standard definition of smoothness on an arbitrary subset

Published on 18 Aug 2016 - 4:40

222

Views

Manifolds with corners

Published on 26 Mar 2026 - 8:14

64

Views

Smoothness of a map in a manifold

Published on 05 Apr 2026 - 3:17

921

Views

What does "smoothly compatible" mean?

Published on 20 Aug 2016 - 9:49

266

Views

confusion with differential of map

Published on 26 Mar 2026 - 22:13

574

Views

Cohomology of punctured surface

Published on 21 Aug 2016 - 9:35

118

Views

Smoothness of function

Published on 21 Aug 2016 - 11:53

201

Views

Let $M$ be a smooth manifold. Show that $f\in l^2_p$ if and only if in any smooth local coordinates, its first-order Taylor polynomial at p is zero.

Published on 22 Aug 2016 - 2:11

List Question

Difference between $C^k$s and $C^\infty$

Smoothness of the boundary is the only obstruction for being a submanifold with boundary?

k-form decomposition on MxR

"Why" is $\mathbb{CP}^2\mathbin{\#}\mathbb{CP}^2$ not homeomorphic to $\mathbb{CP}^2\mathbin{\#}\overline{\mathbb{CP}^2}$?

When is a continuous map $f: M \longrightarrow N$ between smooth manifolds homotopic to a smooth one?

A $C^k$ manifolds ($k>1$) has a $C^\infty$ atlas: reference request

Why do this kind of tori are not manifold.

Standard definition of smoothness on an arbitrary subset

Manifolds with corners

Smoothness of a map in a manifold

What does "smoothly compatible" mean?

confusion with differential of map

Cohomology of punctured surface

Smoothness of function

Let $M$ be a smooth manifold. Show that $f\in l^2_p$ if and only if in any smooth local coordinates, its first-order Taylor polynomial at p is zero.

Trending Questions

Popular # Hahtags

Popular Questions