Question

For closed set $S$ in uniform space $(X, \mathcal{U})$, with $S\subseteq W$, is there $U\in \mathcal{U}$ such that $S\subseteq U[S]\subseteq W$?

score 29 · Answer 1 · 2026-04-09 04:33:29

For closed set $S$ in uniform space $(X, \mathcal{U})$, with $S\subseteq W$, is there $U\in \mathcal{U}$ such that $S\subseteq U[S]\subseteq W$?

score 148 · Answer 2 · 2026-04-13 16:40:31

148

Views

Subcover of a compact Manifold

Published on 13 Apr 2026 - 16:40

score 1.3k · Answer 3 · 2026-04-16 03:33:06

1.3k

Views

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Published on 16 Apr 2026 - 3:33

score 334 · Answer 4 · 2026-04-29 16:15:50

334

Views

Proving $f$ is continuous iff all the functions parameterized are continuous

Published on 29 Apr 2026 - 16:15

score 338 · Answer 5 · 2026-04-28 17:51:32

338

Views

Proving the Product of topological spaces are metrizable

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score 726 · Answer 6 · 2026-04-15 02:56:30

726

Views

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Published on 15 Apr 2026 - 2:56

score 234 · Answer 7 · 2026-04-13 20:58:09

234

Views

Any subcollection $\mathcal A_1$ of a locally finite collection $\mathcal A$ of subsets of $X$ is locally finite.

Published on 13 Apr 2026 - 20:58

score 64 · Answer 8 · 2026-04-29 16:17:46

64

Views

Collection $\mathcal B=${$\bar A:A\in \mathcal A$} is locally finite,given that $\mathcal A$ is locally finite.

Published on 29 Apr 2026 - 16:17

score 735 · Answer 9 · 2026-04-11 12:40:41

735

Views

Proving every compact space is locally compact.

Published on 11 Apr 2026 - 12:40

score 160 · Answer 10 · 2026-04-09 09:32:22

160

Views

Upper semicontinuous function as a poinwise limit of continuous fuctions

Published on 09 Apr 2026 - 9:32

score 445 · Answer 11 · 2026-04-16 09:12:00

445

Views

Complete+bounded homeomorphic to incomplete+unbounded

Published on 16 Apr 2026 - 9:12

score 230 · Answer 12 · 2026-04-09 04:32:36

230

Views

Is a set bounded in every metric for a uniformity bounded in the uniformity?

Published on 09 Apr 2026 - 4:32

score 822 · Answer 13 · 2026-04-14 07:44:05

822

Views

Existence of topological space which has no "square-root" but whose "cube" has a "square-root"

Published on 14 Apr 2026 - 7:44

score 130 · Answer 14 · 2026-03-25 09:23:22

130

Views

Do strongly equivalent metrics have the same covering numbers?

Published on 25 Mar 2026 - 9:23

score 417 · Answer 15 · 2026-03-25 23:36:03

417

Views

Continuous extension of a function to the Stone-Cech compactification

Published on 25 Mar 2026 - 23:36

List Question

For closed set $S$ in uniform space $(X, \mathcal{U})$, with $S\subseteq W$, is there $U\in \mathcal{U}$ such that $S\subseteq U[S]\subseteq W$?

Subcover of a compact Manifold

If the metric space is $\mathbb Q$, is it connected?

Proving $f$ is continuous iff all the functions parameterized are continuous

Proving the Product of topological spaces are metrizable

How can I prove that $\mathbb Q \times \mathbb Q$ is connected?

Any subcollection $\mathcal A_1$ of a locally finite collection $\mathcal A$ of subsets of $X$ is locally finite.

Collection $\mathcal B=${$\bar A:A\in \mathcal A$} is locally finite,given that $\mathcal A$ is locally finite.

Proving every compact space is locally compact.

Upper semicontinuous function as a poinwise limit of continuous fuctions

Complete+bounded homeomorphic to incomplete+unbounded

Is a set bounded in every metric for a uniformity bounded in the uniformity?

Existence of topological space which has no "square-root" but whose "cube" has a "square-root"

Do strongly equivalent metrics have the same covering numbers?

Continuous extension of a function to the Stone-Cech compactification

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