Question

Example of two homotopically equivalent manifolds such that one admits a symplectic structure and the other does not

score 129 · Answer 1 · 2026-03-26 06:11:02

129

Views

Example of two homotopically equivalent manifolds such that one admits a symplectic structure and the other does not

Published on 26 Mar 2026 - 6:11

score 114 · Answer 2 · 2019-03-06 07:24:05

114

Views

Hypersurfaces homeomorphic to a hyperplane

Published on 06 Mar 2019 - 7:24

score 49 · Answer 3 · 2019-03-06 09:01:10

49

Views

Neustadt and Hadamard derivative

Published on 06 Mar 2019 - 9:01

score 34 · Answer 4 · 2019-03-06 13:46:17

34

Views

On the characterization of discs in dimension $\ge 6$

Published on 06 Mar 2019 - 13:46

score 62 · Answer 5 · 2026-03-25 15:57:06

62

Views

Another version of Implicit Function Theorem

Published on 25 Mar 2026 - 15:57

score 148 · Answer 6 · 2019-03-09 00:49:42

148

Views

Why is it important to ask for injectivity and homeomorphisms when defining immersions and embeddings? What's the motivation behind it?

Published on 09 Mar 2019 - 0:49

score 74 · Answer 7 · 2026-03-29 12:41:19

74

Views

Extension of a vector field $X:A\subset \mathbb{R}^2 \to \mathbb{R}^2 $

Published on 29 Mar 2026 - 12:41

score 64 · Answer 8 · 2026-03-25 03:20:41

64

Views

If an analytic map $f$ has "many" values in a negligible set $B$, does $\text{Image}(f) \subseteq B$?

Published on 25 Mar 2026 - 3:20

score 32 · Answer 9 · 2026-03-25 09:28:15

32

Views

Consider the real-valued function $M:=\{(x,y,z)| (2 - (x^2 + y^2)^{1/2})^2 + z^2=1\}$ defined on $\mathbb{R}^3-\{(0, 0, z)\}$.

Published on 25 Mar 2026 - 9:28

score 102 · Answer 10 · 2026-03-29 05:42:34

102

Views

How general is the tennis racket theorem?

Published on 29 Mar 2026 - 5:42

score 977 · Answer 11 · 2019-03-11 05:21:54

977

Views

A question about a contractible manifold

Published on 11 Mar 2019 - 5:21

score 1.6k · Answer 12 · 2026-02-23 02:59:27

1.6k

Views

Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

Published on 23 Feb 2026 - 2:59

score 53 · Answer 13 · 2019-03-11 18:17:57

53

Views

Find the derivatives of a smooth function between 2 manifolds

Published on 11 Mar 2019 - 18:17

score 156 · Answer 14 · 2026-02-23 01:05:11

156

Views

Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

Published on 23 Feb 2026 - 1:05

score 55 · Answer 15 · 2026-03-25 13:57:50

55

Views

Manifold and the topology of $\Bbb R^n$

Published on 25 Mar 2026 - 13:57

List Question

Example of two homotopically equivalent manifolds such that one admits a symplectic structure and the other does not

Hypersurfaces homeomorphic to a hyperplane

Neustadt and Hadamard derivative

On the characterization of discs in dimension $\ge 6$

Another version of Implicit Function Theorem

Why is it important to ask for injectivity and homeomorphisms when defining immersions and embeddings? What's the motivation behind it?

Extension of a vector field $X:A\subset \mathbb{R}^2 \to \mathbb{R}^2 $

If an analytic map $f$ has "many" values in a negligible set $B$, does $\text{Image}(f) \subseteq B$?

Consider the real-valued function $M:=\{(x,y,z)| (2 - (x^2 + y^2)^{1/2})^2 + z^2=1\}$ defined on $\mathbb{R}^3-\{(0, 0, z)\}$.

How general is the tennis racket theorem?

A question about a contractible manifold

Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

Find the derivatives of a smooth function between 2 manifolds

Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

Manifold and the topology of $\Bbb R^n$

Trending Questions

Popular # Hahtags

Popular Questions