Question

Show that $|f(x)-f(y)| < M|x-y| + \epsilon$ for all $x, y \in X$

score 1.8k · Answer 1 · 2026-04-17 11:06:09

1.8k

Views

Show that $|f(x)-f(y)| < M|x-y| + \epsilon$ for all $x, y \in X$

Published on 17 Apr 2026 - 11:06

score 123 · Answer 2 · 2016-01-03 07:03:10

123

Views

If $\hat A= A \cup \left\{\right.$ connected components of $X-A$ which are relatively compact in $X\left.\right\}$, then for every $A \subseteq X$

Published on 03 Jan 2016 - 7:03

score 106 · Answer 3 · 2026-04-11 21:55:27

106

Views

compact metric spaces and infimum

Published on 11 Apr 2026 - 21:55

score 213 · Answer 4 · 2016-01-04 05:06:13

213

Views

Range of continuous function related

Published on 04 Jan 2016 - 5:06

score 89 · Answer 5 · 2026-04-12 09:54:01

89

Views

If we think of infinity as a number, how does it affect the compactness/completeness of a metric space?

Published on 12 Apr 2026 - 9:54

score 81 · Answer 6 · 2016-01-04 17:26:21

81

Views

The union of a set with its complementary components that have compact closure

Published on 04 Jan 2016 - 17:26

score 748 · Answer 7 · 2026-04-11 16:42:28

748

Views

Creating a nested sequence of compact subsets of an open set in $\mathbb{R}$

Published on 11 Apr 2026 - 16:42

score 202 · Answer 8 · 2026-04-13 11:10:35

202

Views

Locally compact Haussdorff space

Published on 13 Apr 2026 - 11:10

score 1.7k · Answer 9 · 2026-04-21 14:44:46

1.7k

Views

$0<\beta < \alpha \leq 1$, unit ball of Hölder space $C^{0,\alpha}[0,1]$ compact in $C^{0,\beta}[0,1]$?

Published on 21 Apr 2026 - 14:44

score 339 · Answer 10 · 2026-04-09 09:23:56

339

Views

How to understand intuition behind compactness?

Published on 09 Apr 2026 - 9:23

score 90 · Answer 11 · 2026-04-13 10:21:05

90

Views

if A is a compact subset of X,the inter section of all open sets which include A is a compact subset of X

Published on 13 Apr 2026 - 10:21

score 90 · Answer 12 · 2026-03-28 02:05:21

90

Views

lim$_{n→∞}d(x_n, a) \neq d($lim$_{n→∞}x_n, a)$ in Metric Space - Implications

Published on 28 Mar 2026 - 2:05

score 749 · Answer 13 · 2026-04-16 23:12:08

749

Views

Closed, continuous, surjective map with inverse images compact

Published on 16 Apr 2026 - 23:12

score 874 · Answer 14 · 2026-04-10 07:41:50

874

Views

Show precompactness for not necessarily continuous functions

Published on 10 Apr 2026 - 7:41

score 11.4k · Answer 15 · 2016-01-08 10:57:46

11.4k

Views

When is the image of a proper map closed?

Published on 08 Jan 2016 - 10:57

List Question

Show that $|f(x)-f(y)| < M|x-y| + \epsilon$ for all $x, y \in X$

If $\hat A= A \cup \left\{\right.$ connected components of $X-A$ which are relatively compact in $X\left.\right\}$, then for every $A \subseteq X$

compact metric spaces and infimum

Range of continuous function related

If we think of infinity as a number, how does it affect the compactness/completeness of a metric space?

The union of a set with its complementary components that have compact closure

Creating a nested sequence of compact subsets of an open set in $\mathbb{R}$

Locally compact Haussdorff space

$0<\beta < \alpha \leq 1$, unit ball of Hölder space $C^{0,\alpha}[0,1]$ compact in $C^{0,\beta}[0,1]$?

How to understand intuition behind compactness?

if A is a compact subset of X,the inter section of all open sets which include A is a compact subset of X

lim$_{n→∞}d(x_n, a) \neq d($lim$_{n→∞}x_n, a)$ in Metric Space - Implications

Closed, continuous, surjective map with inverse images compact

Show precompactness for not necessarily continuous functions

When is the image of a proper map closed?

Trending Questions

Popular # Hahtags

Popular Questions