Question

Continuous function, not on reals: each value twice?

score 124 · Answer 1 · 2026-03-28 04:52:19

124

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Continuous function, not on reals: each value twice?

Published on 28 Mar 2026 - 4:52

score 117 · Answer 2 · 2026-03-26 13:48:06

117

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Convergence of a Normed Linear Space

Published on 26 Mar 2026 - 13:48

score 1.7k · Answer 3 · 2026-03-28 08:36:34

1.7k

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Prove that the set $A=\left \{ \frac{1}{n}\ |\ n\in \mathbb{N} \right \}$ is not compact.

Published on 28 Mar 2026 - 8:36

score 5.1k · Answer 4 · 2026-03-25 20:05:53

5.1k

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Showing that a totally bounded set is relatively compact (closure is compact)

Published on 25 Mar 2026 - 20:05

score 536 · Answer 5 · 2026-03-28 08:36:32

536

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A question from the proof of the Tietze's Extension Theorem

Published on 28 Mar 2026 - 8:36

score 66 · Answer 6 · 2018-02-08 15:31:26

66

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Euclidean Metric on $\mathbb{R}$ - Section 1.2 Micheal Searcoid

Published on 08 Feb 2018 - 15:31

score 47 · Answer 7 · 2018-02-08 20:16:44

47

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Is every countably infinite subset of a metric space closed?

Published on 08 Feb 2018 - 20:16

score 116 · Answer 8 · 2026-03-26 17:32:46

116

Views

Prove that a metric space with exactly 3 points is isometric to a subset of E^2.

Published on 26 Mar 2026 - 17:32

score 2.3k · Answer 9 · 2026-03-27 08:56:36

2.3k

Views

Show that the union of finitely many compact sets is compact

Published on 27 Mar 2026 - 8:56

score 117 · Answer 10 · 2026-03-27 07:14:18

117

Views

The supremum of a continuous mapping

Published on 27 Mar 2026 - 7:14

score 44 · Answer 11 · 2026-03-25 09:18:25

44

Views

Prove that $d(T_1,T_2)=\|T_1-T_2\|$ is a metric on $V$

Published on 25 Mar 2026 - 9:18

score 1.8k · Answer 12 · 2018-02-12 09:57:31

1.8k

Views

Rudin 2.43 Every nonempty perfect set in $\mathbb{R}^k$ is uncountable

Published on 12 Feb 2018 - 9:57

score 160 · Answer 13 · 2026-03-22 13:34:28

160

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Minimise the sum of pairwise distances between labelled points in a metric space subject to covering some set of labels

Published on 22 Mar 2026 - 13:34

score 200 · Answer 14 · 2026-03-28 16:56:39

200

Views

Problems on Metric Spaces

Published on 28 Mar 2026 - 16:56

score 53 · Answer 15 · 2026-03-26 17:32:44

53

Views

Is there a term for an $L^1$-combination of discrete metrics?

Published on 26 Mar 2026 - 17:32

List Question

Continuous function, not on reals: each value twice?

Convergence of a Normed Linear Space

Prove that the set $A=\left \{ \frac{1}{n}\ |\ n\in \mathbb{N} \right \}$ is not compact.

Showing that a totally bounded set is relatively compact (closure is compact)

A question from the proof of the Tietze's Extension Theorem

Euclidean Metric on $\mathbb{R}$ - Section 1.2 Micheal Searcoid

Is every countably infinite subset of a metric space closed?

Prove that a metric space with exactly 3 points is isometric to a subset of E^2.

Show that the union of finitely many compact sets is compact

The supremum of a continuous mapping

Prove that $d(T_1,T_2)=\|T_1-T_2\|$ is a metric on $V$

Rudin 2.43 Every nonempty perfect set in $\mathbb{R}^k$ is uncountable

Minimise the sum of pairwise distances between labelled points in a metric space subject to covering some set of labels

Problems on Metric Spaces

Is there a term for an $L^1$-combination of discrete metrics?

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