Question

Map $F$ open and $F(\mathbb{R})$ is a submanifold

score 235 · Answer 1 · 2026-05-10 11:20:38

235

Views

Map $F$ open and $F(\mathbb{R})$ is a submanifold

Published on 10 May 2026 - 11:20

score 1.2k · Answer 2 · 2026-04-08 22:51:07

1.2k

Views

Properties of inclusion map between topological spaces.

Published on 08 Apr 2026 - 22:51

score 226 · Answer 3 · 2026-04-13 06:25:25

226

Views

$F:X \to Y$ open continuous map when $X$ is Hausdorff and locally compact and $Y$ is Haussdorf

Published on 13 Apr 2026 - 6:25

score 428 · Answer 4 · 2026-04-09 02:07:02

428

Views

Problem based on Open Mapping Theorem in Functional Analysis

Published on 09 Apr 2026 - 2:07

score 279 · Answer 5 · 2026-04-12 04:21:02

279

Views

The open $(0,1) \times (0,1)$ square invectively mapped into the interval $(0,1)$

Published on 12 Apr 2026 - 4:21

score 163 · Answer 6 · 2026-04-14 05:13:50

163

Views

If the closure of each $\mathcal{R}$-saturated set is also $\mathcal{R}$-saturated, is then $\mathcal{R}$ an open relation (projection is open)?

Published on 14 Apr 2026 - 5:13

score 61 · Answer 7 · 2026-04-10 07:11:08

61

Views

Why does this statement hold?

Published on 10 Apr 2026 - 7:11

score 387 · Answer 8 · 2026-03-25 07:42:32

387

Views

Explicit/constructive example of open maps that are not continuous (especially from R to R)?

Published on 25 Mar 2026 - 7:42

score 80 · Answer 9 · 2026-04-13 12:50:31

80

Views

Submmersions: $|f(x)|$ do not assume maximal value

Published on 13 Apr 2026 - 12:50

score 2.7k · Answer 10 · 2026-04-10 01:25:54

2.7k

Views

Is the inverse of a continuous function an open map?

Published on 10 Apr 2026 - 1:25

score 76 · Answer 11 · 2026-04-13 23:08:17

76

Views

Exercise on quotient topology and countability axioms

Published on 13 Apr 2026 - 23:08

score 54 · Answer 12 · 2026-04-15 13:59:36

54

Views

Difference between $T(A) = A$ and $T^{-1}(A) = A$

Published on 15 Apr 2026 - 13:59

score 73 · Answer 13 · 2026-04-23 04:42:26

73

Views

How to check thet the set is closed but not clopen

Published on 23 Apr 2026 - 4:42

score 255 · Answer 14 · 2026-04-15 17:26:09

255

Views

Continuity property for a closed set

Published on 15 Apr 2026 - 17:26

score 181 · Answer 15 · 2026-04-11 19:24:13

181

Views

Is the box topology the finest that makes projections open maps?

Published on 11 Apr 2026 - 19:24

List Question

Map $F$ open and $F(\mathbb{R})$ is a submanifold

Properties of inclusion map between topological spaces.

$F:X \to Y$ open continuous map when $X$ is Hausdorff and locally compact and $Y$ is Haussdorf

Problem based on Open Mapping Theorem in Functional Analysis

The open $(0,1) \times (0,1)$ square invectively mapped into the interval $(0,1)$

If the closure of each $\mathcal{R}$-saturated set is also $\mathcal{R}$-saturated, is then $\mathcal{R}$ an open relation (projection is open)?

Why does this statement hold?

Explicit/constructive example of open maps that are not continuous (especially from R to R)?

Submmersions: $|f(x)|$ do not assume maximal value

Is the inverse of a continuous function an open map?

Exercise on quotient topology and countability axioms

Difference between $T(A) = A$ and $T^{-1}(A) = A$

How to check thet the set is closed but not clopen

Continuity property for a closed set

Is the box topology the finest that makes projections open maps?

Trending Questions

Popular # Hahtags

Popular Questions