Question

How to show that a mapping is a 2-Lipschitz retraction from $l_\infty$ to $c_0$?

score 58 · Answer 1 · 2026-02-23 02:57:45

58

Views

How to show that a mapping is a 2-Lipschitz retraction from $l_\infty$ to $c_0$?

Published on 23 Feb 2026 - 2:57

score 30 · Answer 2 · 2026-03-29 18:34:30

30

Views

Properties of a greatest cluster (limit) point of a sequence in $\mathbb{R}$ and series

Published on 29 Mar 2026 - 18:34

score 179 · Answer 3 · 2019-07-22 07:36:22

179

Views

Prove $\bigcup\limits_{n \in \mathbb{ N} }{\left[0,1-\frac{1}{n}\right]} = [0,1)$

Published on 22 Jul 2019 - 7:36

score 33 · Answer 4 · 2019-07-22 08:34:26

33

Views

If $B(x, r)$ is closed in $S\subseteq \mathbb{R}$, is it closed in $\mathbb{R}$?

Published on 22 Jul 2019 - 8:34

score 291 · Answer 5 · 2026-03-30 06:15:33

291

Views

Connectedness of balls in a compact, connected metric space

Published on 30 Mar 2026 - 6:15

score 62 · Answer 6 · 2019-07-22 16:40:35

62

Views

Metric Spaces Admitting Injective Contraction

Published on 22 Jul 2019 - 16:40

score 74 · Answer 7 · 2026-03-30 01:30:04

74

Views

What is the intuitive sense of a closed set on a metric space?

Published on 30 Mar 2026 - 1:30

score 584 · Answer 8 · 2026-03-26 17:32:17

584

Views

If a sequence $\{x_{n}\}$ is a Cauchy sequence and the sequence has a limit point $x_{0}$ then $x_{n} \rightarrow x_{0}$

Published on 26 Mar 2026 - 17:32

score 778 · Answer 9 · 2019-07-22 18:42:29

778

Views

Proving a space is complete by assuming Cauchy sequences converge

Published on 22 Jul 2019 - 18:42

score 81 · Answer 10 · 2026-03-30 06:14:13

81

Views

A problem on connectedness .

Published on 30 Mar 2026 - 6:14

score 392 · Answer 11 · 2019-07-23 09:50:41

392

Views

What is a metric induced by another metric?

Published on 23 Jul 2019 - 9:50

score 41 · Answer 12 · 2019-07-23 11:29:33

41

Views

Can $ \ \ \sup_{x \in X} \inf_{y \in Y} \ d(x,y) \neq 0$?

Published on 23 Jul 2019 - 11:29

score 66 · Answer 13 · 2026-04-01 13:23:19

66

Views

$P,Q$ is any two subset of $(X,d)$ with $P\subset Q$, then what is the value of $\sup\limits_{x\in P} \inf\limits_{y\in Q} d(x,y)$?

Published on 01 Apr 2026 - 13:23

score 469 · Answer 14 · 2019-07-23 14:35:18

469

Views

Continuity of Left Inverse

Published on 23 Jul 2019 - 14:35

score 383 · Answer 15 · 2026-03-26 17:34:56

383

Views

Convergence of Cauchy's sequence

Published on 26 Mar 2026 - 17:34

List Question

How to show that a mapping is a 2-Lipschitz retraction from $l_\infty$ to $c_0$?

Properties of a greatest cluster (limit) point of a sequence in $\mathbb{R}$ and series

Prove $\bigcup\limits_{n \in \mathbb{ N} }{\left[0,1-\frac{1}{n}\right]} = [0,1)$

If $B(x, r)$ is closed in $S\subseteq \mathbb{R}$, is it closed in $\mathbb{R}$?

Connectedness of balls in a compact, connected metric space

Metric Spaces Admitting Injective Contraction

What is the intuitive sense of a closed set on a metric space?

If a sequence $\{x_{n}\}$ is a Cauchy sequence and the sequence has a limit point $x_{0}$ then $x_{n} \rightarrow x_{0}$

Proving a space is complete by assuming Cauchy sequences converge

A problem on connectedness .

What is a metric induced by another metric?

Can $ \ \ \sup_{x \in X} \inf_{y \in Y} \ d(x,y) \neq 0$?

$P,Q$ is any two subset of $(X,d)$ with $P\subset Q$, then what is the value of $\sup\limits_{x\in P} \inf\limits_{y\in Q} d(x,y)$?

Continuity of Left Inverse

Convergence of Cauchy's sequence

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