Question

X compact iff any collection of closed set closed by finite intersection have a nonempty intersection

score 216 · Answer 1 · 2026-04-13 23:49:37

216

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X compact iff any collection of closed set closed by finite intersection have a nonempty intersection

Published on 13 Apr 2026 - 23:49

score 201 · Answer 2 · 2026-04-23 09:36:07

201

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Some questions about Hausdorff distance

Published on 23 Apr 2026 - 9:36

score 65 · Answer 3 · 2026-04-12 12:09:11

65

Views

Convex subset with positive measure.

Published on 12 Apr 2026 - 12:09

score 103 · Answer 4 · 2026-04-15 22:21:40

103

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If $A \subset X$ is dense and $B \subset X$ is open, then $B \subset \overline{A \cap B}$

Published on 15 Apr 2026 - 22:21

score 996 · Answer 5 · 2026-04-12 20:14:03

996

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Is there a Partition of $[0,1]$ into closed, countably infinite sets?

Published on 12 Apr 2026 - 20:14

score 123 · Answer 6 · 2026-04-10 19:00:55

123

Views

Weak convergence of solution

Published on 10 Apr 2026 - 19:00

score 54 · Answer 7 · 2026-04-17 11:04:06

Let $X$ and $Y$ be compact metric spaces. If $X^{\mathbb{N}}$ is homeomorphic to $Y^{\mathbb{N}}$ is $X$ homemorphic to $Y^k$?

score 1.1k · Answer 8 · 2026-04-12 05:07:28

1.1k

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Topology on the space of matrices

Published on 12 Apr 2026 - 5:07

score 212 · Answer 9 · 2026-04-11 11:10:04

212

Views

Bolzano-Weierstrass theorem holds in any NLS. Is the statement true?

Published on 11 Apr 2026 - 11:10

score 84 · Answer 10 · 2026-04-16 13:33:59

84

Views

Let's consider the metric space $\Bbb{Q}$ with the euclidian metric of $\Bbb{R}$

Published on 16 Apr 2026 - 13:33

score 92 · Answer 11 · 2026-04-15 22:33:56

92

Views

The set of discontinuous bounded functions is open in $\mathbb{B}(M,N)$

Published on 15 Apr 2026 - 22:33

score 47 · Answer 12 · 2026-04-13 01:24:16

47

Views

What is the guarantee of existence of $B_n$ with underlined property?

Published on 13 Apr 2026 - 1:24

score 129 · Answer 13 · 2026-04-12 19:35:06

129

Views

Closure operator via nets, regarding the fact that $\overline{A \cup B} = \overline{A} \cup \overline{B}$

Published on 12 Apr 2026 - 19:35

score 684 · Answer 14 · 2026-04-15 08:09:42

684

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Alternative proof for subbasis for order topology and product topology: Finite intersections of elements of $\mathscr S$ is a basis

Published on 15 Apr 2026 - 8:09

score 619 · Answer 15 · 2026-04-23 18:02:29

619

Views

A way to prove that Hausdorff distance is complete

Published on 23 Apr 2026 - 18:02

List Question

X compact iff any collection of closed set closed by finite intersection have a nonempty intersection

Some questions about Hausdorff distance

Convex subset with positive measure.

If $A \subset X$ is dense and $B \subset X$ is open, then $B \subset \overline{A \cap B}$

Is there a Partition of $[0,1]$ into closed, countably infinite sets?

Weak convergence of solution

Let $X$ and $Y$ be compact metric spaces. If $X^{\mathbb{N}}$ is homeomorphic to $Y^{\mathbb{N}}$ is $X$ homemorphic to $Y^k$?

Topology on the space of matrices

Bolzano-Weierstrass theorem holds in any NLS. Is the statement true?

Let's consider the metric space $\Bbb{Q}$ with the euclidian metric of $\Bbb{R}$

The set of discontinuous bounded functions is open in $\mathbb{B}(M,N)$

What is the guarantee of existence of $B_n$ with underlined property?

Closure operator via nets, regarding the fact that $\overline{A \cup B} = \overline{A} \cup \overline{B}$

Alternative proof for subbasis for order topology and product topology: Finite intersections of elements of $\mathscr S$ is a basis

A way to prove that Hausdorff distance is complete

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