Question

A lemma for the idea in the modern proof of Banach's Contraction Mapping Theorem

score 113 · Answer 1 · 2018-09-30 21:10:58

113

Views

A lemma for the idea in the modern proof of Banach's Contraction Mapping Theorem

Published on 30 Sep 2018 - 21:10

score 121 · Answer 2 · 2018-10-01 00:03:04

121

Views

Fixed point of a function defined in terms of a metric on a compact metric space

Published on 01 Oct 2018 - 0:03

score 89 · Answer 3 · 2018-10-03 19:38:16

89

Views

Prove that $\mathbb{R}$ with this metric is complete

Published on 03 Oct 2018 - 19:38

score 212 · Answer 4 · 2018-10-05 20:42:31

212

Views

Some questions about isometries between completions

Published on 05 Oct 2018 - 20:42

score 574 · Answer 5 · 2018-10-05 23:05:19

574

Views

Discrete Metric Spaces and Complete Metric Spaces

Published on 05 Oct 2018 - 23:05

score 723 · Answer 6 · 2018-10-05 23:31:06

723

Views

Why can't completeness be defined on topological spaces without using metrics?

Published on 05 Oct 2018 - 23:31

score 294 · Answer 7 · 2018-10-06 03:35:35

294

Views

What sequences are Cauchy in all metrics for a given topology?

Published on 06 Oct 2018 - 3:35

score 62 · Answer 8 · 2026-02-23 04:42:59

62

Views

Existence of a metric on $\Bbb Q$ which is complete and equivalent to the usual metric.

Published on 23 Feb 2026 - 4:42

score 79 · Answer 9 · 2018-10-11 11:29:27

79

Views

C($\mathbb{R}$) is complete under the discrete metric.

Published on 11 Oct 2018 - 11:29

score 603 · Answer 10 · 2018-10-12 17:36:00

603

Views

Understanding the completion theorem for metric (vector) spaces

Published on 12 Oct 2018 - 17:36

score 307 · Answer 11 · 2026-03-25 09:48:33

307

Views

Inseparable complete metric space with full Radon probability measure

Published on 25 Mar 2026 - 9:48

score 76 · Answer 12 · 2018-10-20 23:20:40

76

Views

$C(\mathbb{R})$ is complete under $d(f,g)= \sum^{\infty}_{k=0} 2^{-k} w(\text{sup}_{[-k,k]} |f(x)-g(x)|)$?

Published on 20 Oct 2018 - 23:20

score 243 · Answer 13 · 2018-10-24 22:59:37

243

Views

If (X,d) is a metric space and $K \subseteq X$ is compact. Show that $K$ is complete.

Published on 24 Oct 2018 - 22:59

score 2.9k · Answer 14 · 2018-10-25 01:52:07

2.9k

Views

Prove $(l^{\infty},d_{\infty})$ is complete (metric space)

Published on 25 Oct 2018 - 1:52

score 200 · Answer 15 · 2018-10-28 11:03:33

200

Views

Showing that $X=\{ f \in C[a,b] : f(a) = 0 \}$ is Banach

Published on 28 Oct 2018 - 11:03

List Question

A lemma for the idea in the modern proof of Banach's Contraction Mapping Theorem

Fixed point of a function defined in terms of a metric on a compact metric space

Prove that $\mathbb{R}$ with this metric is complete

Some questions about isometries between completions

Discrete Metric Spaces and Complete Metric Spaces

Why can't completeness be defined on topological spaces without using metrics?

What sequences are Cauchy in all metrics for a given topology?

Existence of a metric on $\Bbb Q$ which is complete and equivalent to the usual metric.

C($\mathbb{R}$) is complete under the discrete metric.

Understanding the completion theorem for metric (vector) spaces

Inseparable complete metric space with full Radon probability measure

$C(\mathbb{R})$ is complete under $d(f,g)= \sum^{\infty}_{k=0} 2^{-k} w(\text{sup}_{[-k,k]} |f(x)-g(x)|)$?

If (X,d) is a metric space and $K \subseteq X$ is compact. Show that $K$ is complete.

Prove $(l^{\infty},d_{\infty})$ is complete (metric space)

Showing that $X=\{ f \in C[a,b] : f(a) = 0 \}$ is Banach

Trending Questions

Popular # Hahtags

Popular Questions