Question

Secound countable inverse limit is essentially countable

score 102 · Answer 1 · 2026-03-25 16:20:29

102

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Secound countable inverse limit is essentially countable

Published on 25 Mar 2026 - 16:20

score 274 · Answer 2 · 2019-07-25 20:06:51

274

Views

Is the unit sphere in $\mathbb{R}^n$ over $\mathbb{Q}$ compact?

Published on 25 Jul 2019 - 20:06

score 145 · Answer 3 · 2019-07-26 16:54:18

145

Views

Complete metric space problem

Published on 26 Jul 2019 - 16:54

score 239 · Answer 4 · 2019-07-28 07:24:14

239

Views

Understanding proof that every locally compact subset of $C[0,1]$ is nowhere dense

Published on 28 Jul 2019 - 7:24

score 124 · Answer 5 · 2019-07-28 19:27:20

124

Views

In a compact metric space, if we keep adding closed balls centered on boundary, do we always cover the entire space?

Published on 28 Jul 2019 - 19:27

score 60 · Answer 6 · 2019-07-30 12:01:34

60

Views

Let $U\neq \emptyset$ In $\mathbb{R}^n$ Is Open, Then $U$ Is Not Compact

Published on 30 Jul 2019 - 12:01

score 287 · Answer 7 · 2026-03-30 23:00:02

287

Views

Topology of uniform convergence on $C(X,Y)$ is independent of metric for compact $X$

Published on 30 Mar 2026 - 23:00

score 34 · Answer 8 · 2019-07-31 14:07:49

34

Views

The set of compact subspaces of $X$ is a fundamental cover of $X$

Published on 31 Jul 2019 - 14:07

score 400 · Answer 9 · 2026-03-25 17:36:35

400

Views

Countable union of compact sets is separable?

Published on 25 Mar 2026 - 17:36

score 36 · Answer 10 · 2019-08-02 10:07:16

36

Views

How can I tell from the equation $x^3+y^3=\frac{1}{\sqrt{2}}$ that it is an unbounded set of values

Published on 02 Aug 2019 - 10:07

score 1.5k · Answer 11 · 2026-03-25 03:24:08

1.5k

Views

Could I have come up with the definition of Compactness (and Connectedness)?

Published on 25 Mar 2026 - 3:24

score 2.7k · Answer 12 · 2019-08-07 02:32:44

2.7k

Views

Under what circumstances compact $\iff$ closed and bounded

Published on 07 Aug 2019 - 2:32

score 107 · Answer 13 · 2019-08-07 12:01:57

107

Views

Existence of a strongly increasing sequence of compact subsets in a metric space

Published on 07 Aug 2019 - 12:01

score 872 · Answer 14 · 2019-08-08 04:26:58

872

Views

Giving a sequential proof of the Heine-Borel theorem

Published on 08 Aug 2019 - 4:26

score 106 · Answer 15 · 2026-03-25 07:41:36

106

Views

Chracterization proper maps in terms of nets

Published on 25 Mar 2026 - 7:41

List Question

Secound countable inverse limit is essentially countable

Is the unit sphere in $\mathbb{R}^n$ over $\mathbb{Q}$ compact?

Complete metric space problem

Understanding proof that every locally compact subset of $C[0,1]$ is nowhere dense

In a compact metric space, if we keep adding closed balls centered on boundary, do we always cover the entire space?

Let $U\neq \emptyset$ In $\mathbb{R}^n$ Is Open, Then $U$ Is Not Compact

Topology of uniform convergence on $C(X,Y)$ is independent of metric for compact $X$

The set of compact subspaces of $X$ is a fundamental cover of $X$

Countable union of compact sets is separable?

How can I tell from the equation $x^3+y^3=\frac{1}{\sqrt{2}}$ that it is an unbounded set of values

Could I have come up with the definition of Compactness (and Connectedness)?

Under what circumstances compact $\iff$ closed and bounded

Existence of a strongly increasing sequence of compact subsets in a metric space

Giving a sequential proof of the Heine-Borel theorem

Chracterization proper maps in terms of nets

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