Question

There are open sets $U$ and $V$ such that $U\cap V = \emptyset $ and $ U \cap \tau(V) =\emptyset $?

score 152 · Answer 1 · 2026-03-27 00:06:28

152

Views

There are open sets $U$ and $V$ such that $U\cap V = \emptyset $ and $ U \cap \tau(V) =\emptyset $?

Published on 27 Mar 2026 - 0:06

score 139 · Answer 2 · 2018-07-20 17:46:34

139

Views

Showing open set

Published on 20 Jul 2018 - 17:46

score 62 · Answer 3 · 2026-03-27 14:58:59

62

Views

Topology for the set of all atlases on a topological manifold

Published on 27 Mar 2026 - 14:58

score 199 · Answer 4 · 2026-04-11 11:17:37

199

Views

General definition of Surfaces in $\mathbb{R}^{n}$

Published on 11 Apr 2026 - 11:17

score 45 · Answer 5 · 2026-03-25 14:26:48

45

Views

Condition on real matrix $A$ such that the set $\{S^{-1}AS: S \in GL_n(\mathbb R), (SA-AS)e_1 = 0 \}$ is connected

Published on 25 Mar 2026 - 14:26

score 140 · Answer 6 · 2026-03-29 01:35:41

140

Views

How many connected components for the intersection $S \cap GL_n(\mathbb R)$ where $S \subset M_n(\mathbb R)$ is a linear subspace?

Published on 29 Mar 2026 - 1:35

score 291 · Answer 7 · 2026-03-25 06:27:40

291

Views

Closed Subgroup is Open in a certain Topological Group

Published on 25 Mar 2026 - 6:27

score 75 · Answer 8 · 2026-03-24 20:33:26

75

Views

$X/A\wedge Y/B= (X\times Y)/(X\times B\cup A\times Y)$

Published on 24 Mar 2026 - 20:33

score 382 · Answer 9 · 2026-04-02 00:13:50

382

Views

Closure of $(a,b)$ is [$a,b$]

Published on 02 Apr 2026 - 0:13

score 1.4k · Answer 10 · 2026-03-25 03:19:25

1.4k

Views

Compact subset in a Hausdorff space, is closed.

Published on 25 Mar 2026 - 3:19

score 114 · Answer 11 · 2026-04-11 12:41:15

114

Views

Proving that $H_{n}(X,A)$ is isomorphic to $\widetilde{H}_{n}(X)$ if A is acyclic.

Published on 11 Apr 2026 - 12:41

score 80 · Answer 12 · 2026-04-11 09:25:32

80

Views

Exemple about a set which is not connected but it's interior is connected

Published on 11 Apr 2026 - 9:25

score 244 · Answer 13 · 2026-03-25 01:38:28

244

Views

Is the product of a $T_4$ space and a compact $T_4$ space necessarily $T_4$?

Published on 25 Mar 2026 - 1:38

score 416 · Answer 14 · 2026-04-09 01:55:24

416

Views

$n$-sphere enclosing the Birkhoff polytope

Published on 09 Apr 2026 - 1:55

score 258 · Answer 15 · 2026-03-28 22:26:38

258

Views

When does $S \cap GL_4(\mathbb R)$ have precisely two connected components where $S \subset M_4(\mathbb R)$ is a linear subspace?

Published on 28 Mar 2026 - 22:26

List Question

There are open sets $U$ and $V$ such that $U\cap V = \emptyset $ and $ U \cap \tau(V) =\emptyset $?

Showing open set

Topology for the set of all atlases on a topological manifold

General definition of Surfaces in $\mathbb{R}^{n}$

Condition on real matrix $A$ such that the set $\{S^{-1}AS: S \in GL_n(\mathbb R), (SA-AS)e_1 = 0 \}$ is connected

How many connected components for the intersection $S \cap GL_n(\mathbb R)$ where $S \subset M_n(\mathbb R)$ is a linear subspace?

Closed Subgroup is Open in a certain Topological Group

$X/A\wedge Y/B= (X\times Y)/(X\times B\cup A\times Y)$

Closure of $(a,b)$ is [$a,b$]

Compact subset in a Hausdorff space, is closed.

Proving that $H_{n}(X,A)$ is isomorphic to $\widetilde{H}_{n}(X)$ if A is acyclic.

Exemple about a set which is not connected but it's interior is connected

Is the product of a $T_4$ space and a compact $T_4$ space necessarily $T_4$?

$n$-sphere enclosing the Birkhoff polytope

When does $S \cap GL_4(\mathbb R)$ have precisely two connected components where $S \subset M_4(\mathbb R)$ is a linear subspace?

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