Question

Continuous function, not on reals: each value twice?

score 126 · Answer 1 · 2026-04-10 11:24:20

126

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Continuous function, not on reals: each value twice?

Published on 10 Apr 2026 - 11:24

score 120 · Answer 2 · 2026-05-10 21:52:15

120

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Convergence of a Normed Linear Space

Published on 10 May 2026 - 21:52

score 1.7k · Answer 3 · 2026-04-16 08:43:20

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 16 Apr 2026 - 8:43

score 5.1k · Answer 4 · 2026-05-13 03:07:40

5.1k

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

Published on 13 May 2026 - 3:07

score 538 · Answer 5 · 2026-04-12 06:45:09

538

Views

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

Published on 12 Apr 2026 - 6:45

score 69 · Answer 6 · 2026-04-14 14:24:14

69

Views

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

Published on 14 Apr 2026 - 14:24

score 50 · Answer 7 · 2026-04-11 23:13:28

50

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Is every countably infinite subset of a metric space closed?

Published on 11 Apr 2026 - 23:13

score 117 · Answer 8 · 2026-04-15 05:24:25

117

Views

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

Published on 15 Apr 2026 - 5:24

score 2.3k · Answer 9 · 2026-05-14 01:00:40

2.3k

Views

Show that the union of finitely many compact sets is compact

Published on 14 May 2026 - 1:00

score 121 · Answer 10 · 2026-05-14 00:52:46

121

Views

The supremum of a continuous mapping

Published on 14 May 2026 - 0:52

score 47 · Answer 11 · 2026-05-10 18:29:19

47

Views

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

Published on 10 May 2026 - 18:29

score 1.8k · Answer 12 · 2026-04-16 04:02:17

1.8k

Views

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

Published on 16 Apr 2026 - 4:02

score 168 · Answer 13 · 2026-05-10 11:39:03

168

Views

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

Published on 10 May 2026 - 11:39

score 203 · Answer 14 · 2026-04-10 07:47:48

203

Views

Problems on Metric Spaces

Published on 10 Apr 2026 - 7:47

score 55 · Answer 15 · 2026-04-14 11:00:22

55

Views

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

Published on 14 Apr 2026 - 11:00

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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