Question

Is it "identity function is diffeomorphism" implies the two smooth structures are equal?

score 1.3k · Answer 1 · 2026-04-10 08:12:41

1.3k

Views

Is it "identity function is diffeomorphism" implies the two smooth structures are equal?

Published on 10 Apr 2026 - 8:12

score 874 · Answer 2 · 2026-04-11 22:07:30

874

Views

Topological Open Mapping Theorem for mappings between different Euclidean dimensions?

Published on 11 Apr 2026 - 22:07

score 1k · Answer 3 · 2026-04-14 20:57:41

1k

Views

Are any pair of homotopic diffeomorphisms isotopic?

Published on 14 Apr 2026 - 20:57

score 36 · Answer 4 · 2026-04-13 11:58:34

36

Views

Citable reference for "amphichiral knot" being equivalently definable with "self-homeomorphism" or "self-diffeomorphism"?

Published on 13 Apr 2026 - 11:58

score 150 · Answer 5 · 2026-04-15 14:46:44

150

Views

Orientation - a trivialization over the 0-skeleton that extends over the 1-skeleton

Published on 15 Apr 2026 - 14:46

score 1.6k · Answer 6 · 2026-04-14 13:37:14

1.6k

Views

Trivial connections on trivial bundles

Published on 14 Apr 2026 - 13:37

score 377 · Answer 7 · 2026-03-26 01:25:13

377

Views

Clifford action of exterior derivative of self-dual 2-form

Published on 26 Mar 2026 - 1:25

score 36 · Answer 8 · 2026-04-15 18:09:51

36

Views

Prove that there exists an open neighborhood $V$ of the point $F(m)$ in $N$ that belongs to the image of $F$.

Published on 15 Apr 2026 - 18:09

score 86 · Answer 9 · 2026-04-14 18:12:23

86

Views

For which values of $(a,b) \in \mathbb{R}^2$ is $F^{-1}(a,b)$ a smooth manifold of $\mathbb{R}^3$?

Published on 14 Apr 2026 - 18:12

score 79 · Answer 10 · 2026-04-14 03:24:26

79

Views

Show that there exists a plane $P$ for which $\pi_{P}\circ g$ is an immersion

Published on 14 Apr 2026 - 3:24

score 223 · Answer 11 · 2026-04-12 04:16:13

223

Views

de Rham cohomology as locally constant integrals modulo the trivially constant ones

Published on 12 Apr 2026 - 4:16

score 73 · Answer 12 · 2026-04-13 00:11:42

73

Views

Oriented 3-manifold fibering over two different surfaces?

Published on 13 Apr 2026 - 0:11

score 109 · Answer 13 · 2026-04-13 22:28:34

109

Views

Is there a sensible way of composing "non-instantaneous" functions?

Published on 13 Apr 2026 - 22:28

score 70 · Answer 14 · 2026-04-16 06:45:32

70

Views

Non-existence of a smooth map from $S^2$ with constant rank $1$

Published on 16 Apr 2026 - 6:45

score 112 · Answer 15 · 2026-04-15 04:38:16

112

Views

Suppose $X$ and $Y$ are two smooth manifolds, with $\dim(X) = m < \dim(Y) = n$ is the inclusion map an immersion?

Published on 15 Apr 2026 - 4:38

List Question

Is it "identity function is diffeomorphism" implies the two smooth structures are equal?

Topological Open Mapping Theorem for mappings between different Euclidean dimensions?

Are any pair of homotopic diffeomorphisms isotopic?

Citable reference for "amphichiral knot" being equivalently definable with "self-homeomorphism" or "self-diffeomorphism"?

Orientation - a trivialization over the 0-skeleton that extends over the 1-skeleton

Trivial connections on trivial bundles

Clifford action of exterior derivative of self-dual 2-form

Prove that there exists an open neighborhood $V$ of the point $F(m)$ in $N$ that belongs to the image of $F$.

For which values of $(a,b) \in \mathbb{R}^2$ is $F^{-1}(a,b)$ a smooth manifold of $\mathbb{R}^3$?

Show that there exists a plane $P$ for which $\pi_{P}\circ g$ is an immersion

de Rham cohomology as locally constant integrals modulo the trivially constant ones

Oriented 3-manifold fibering over two different surfaces?

Is there a sensible way of composing "non-instantaneous" functions?

Non-existence of a smooth map from $S^2$ with constant rank $1$

Suppose $X$ and $Y$ are two smooth manifolds, with $\dim(X) = m < \dim(Y) = n$ is the inclusion map an immersion?

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