List questions from differential-topology

85

Views

Continuity of a function defined by cases on a space obtained as an attachment of n-cell along another space

Published on 06 Mar 2017 - 0:19

95

Views

Are there any manifolds that are $C^{r-1}$-diffeomorphic but not $C^r$-diffeomorphic?

Published on 10 Apr 2026 - 14:40

989

Views

Stereographic projection calculating the Transition function

Published on 25 Mar 2026 - 7:47

1.3k

Views

How to determine whether a closed form is an exact form？

Published on 02 Apr 2026 - 11:56

55

Views

Reference to $C^{1/\epsilon}$-topology in a paper

Published on 06 Mar 2017 - 17:45

403

Views

Diffeomorphism between boundaries

Published on 09 Apr 2026 - 7:52

2k

Views

Critical points for a smooth function defined on a manifold - Milnor, Morse theory

Published on 10 Apr 2026 - 17:27

834

Views

A disjoint cover for a compact manifold

Published on 08 Apr 2026 - 7:33

441

Views

How do differential 2-forms give us bilinear forms on tangent spaces?

Published on 02 Apr 2026 - 11:56

502

Views

Continuity of the figure-eight map

Published on 08 Mar 2017 - 8:16

1.5k

Views

How do I prove that the boundary of the unit square is not a $\mathscr{C}^1$ manifold?

Published on 08 Mar 2017 - 21:04

1.2k

Views

Local trivialization and local frame

Published on 30 Mar 2026 - 23:20

175

Views

How does a smooth differential structure hide a discontinuity?

Published on 08 Apr 2026 - 20:20

426

Views

Proving that a map $f\colon S^1\to S^2$ is not surjective

Published on 12 Mar 2017 - 2:51

84

Views

Disjointness of derivations at different points in $\mathbb{R}^{n}$

Published on 13 Mar 2017 - 9:40

List Question

Continuity of a function defined by cases on a space obtained as an attachment of n-cell along another space

Are there any manifolds that are $C^{r-1}$-diffeomorphic but not $C^r$-diffeomorphic?

Stereographic projection calculating the Transition function

How to determine whether a closed form is an exact form？

Reference to $C^{1/\epsilon}$-topology in a paper

Diffeomorphism between boundaries

Critical points for a smooth function defined on a manifold - Milnor, Morse theory

A disjoint cover for a compact manifold

How do differential 2-forms give us bilinear forms on tangent spaces?

Continuity of the figure-eight map

How do I prove that the boundary of the unit square is not a $\mathscr{C}^1$ manifold?

Local trivialization and local frame

How does a smooth differential structure hide a discontinuity?

Proving that a map $f\colon S^1\to S^2$ is not surjective

Disjointness of derivations at different points in $\mathbb{R}^{n}$

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