Question

Examples of two different maximal atlases given the abstract manifold

score 207 · Answer 1 · 2026-04-13 06:20:25

207

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Examples of two different maximal atlases given the abstract manifold

Published on 13 Apr 2026 - 6:20

score 186 · Answer 2 · 2026-04-11 08:27:04

186

Views

Doubt in proof that retract of connected subsets of manifolds are manifolds

Published on 11 Apr 2026 - 8:27

score 115 · Answer 3 · 2026-04-14 02:38:56

115

Views

Follow-up to given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h=\Phi_1$?

Published on 14 Apr 2026 - 2:38

score 76 · Answer 4 · 2026-04-13 03:37:07

76

Views

Whitney's topology

Published on 13 Apr 2026 - 3:37

score 64 · Answer 5 · 2026-04-14 23:01:49

64

Views

Proving a Compact Hausdorff manifold can be embedded in $\mathbb{R}^q$

Published on 14 Apr 2026 - 23:01

score 88 · Answer 6 · 2026-04-15 05:40:29

88

Views

"Unitary" extension of the normal field from the boundary of a manifold

Published on 15 Apr 2026 - 5:40

score 28 · Answer 7 · 2026-04-15 09:08:10

28

Views

Bordism and regular values of a distance map

Published on 15 Apr 2026 - 9:08

score 148 · Answer 8 · 2026-04-17 00:23:28

148

Views

Number of pre-images of a regular value

Published on 17 Apr 2026 - 0:23

score 45 · Answer 9 · 2026-04-13 08:24:56

45

Views

$K$ compact, $ g|_K $ is a immersion.

Published on 13 Apr 2026 - 8:24

score 46 · Answer 10 · 2026-04-10 18:06:05

46

Views

If $T$ is a homeomorphism and $\Omega$ is invariant under $T$, can we infer that $T(\Omega)=\Omega$?

Published on 10 Apr 2026 - 18:06

score 42 · Answer 11 · 2026-04-17 14:19:29

42

Views

$A_n \subset (X, \tau)$ whit $A_{n+1} \subset A_n$ y $\cap \overline{A_n}=\emptyset$ then $\{A_n\}_{n \in \mathbb{N}} $ is locally finite

Published on 17 Apr 2026 - 14:19

score 484 · Answer 12 · 2026-04-14 12:55:14

484

Views

A question about Hausdorff quotient by Group Action. Also, there are some very related material in Lee's book.

Published on 14 Apr 2026 - 12:55

score 247 · Answer 13 · 2026-04-09 13:47:24

247

Views

Topological rigidity of some non-compact surfaces

Published on 09 Apr 2026 - 13:47

score 125 · Answer 14 · 2026-04-12 04:51:36

125

Views

Calculating the tangent space of special euclidean group?

Published on 12 Apr 2026 - 4:51

score 56 · Answer 15 · 2026-04-16 21:47:15

56

Views

Let $K\subset D^{3}$. Show there exists a smooth map $f:D^{3}\rightarrow D^{2}$ such that $f^{-1}(0) = K$.

Published on 16 Apr 2026 - 21:47

List Question

Examples of two different maximal atlases given the abstract manifold

Doubt in proof that retract of connected subsets of manifolds are manifolds

Follow-up to given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h=\Phi_1$?

Whitney's topology

Proving a Compact Hausdorff manifold can be embedded in $\mathbb{R}^q$

"Unitary" extension of the normal field from the boundary of a manifold

Bordism and regular values of a distance map

Number of pre-images of a regular value

$K$ compact, $ g|_K $ is a immersion.

If $T$ is a homeomorphism and $\Omega$ is invariant under $T$, can we infer that $T(\Omega)=\Omega$?

$A_n \subset (X, \tau)$ whit $A_{n+1} \subset A_n$ y $\cap \overline{A_n}=\emptyset$ then $\{A_n\}_{n \in \mathbb{N}} $ is locally finite

A question about Hausdorff quotient by Group Action. Also, there are some very related material in Lee's book.

Topological rigidity of some non-compact surfaces

Calculating the tangent space of special euclidean group?

Let $K\subset D^{3}$. Show there exists a smooth map $f:D^{3}\rightarrow D^{2}$ such that $f^{-1}(0) = K$.

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