Question

For any countable $ A$ , $B \subseteq A \implies B \cap B\space' \ne B $

score 64 · Answer 1 · 2014-06-07 08:23:53

64

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For any countable $ A$ , $B \subseteq A \implies B \cap B\space' \ne B $

Published on 07 Jun 2014 - 8:23

score 45 · Answer 2 · 2026-04-13 05:24:31

45

Views

Function that's a metric on one space but not another?

Published on 13 Apr 2026 - 5:24

score 62 · Answer 3 · 2014-06-07 18:55:38

"Every seq. in $X$ has a Cauchy subseq." implies "$\forall\epsilon > 0, \exists $ a finite set $T$, s.t. $\forall x\in X, d(x,T)<\epsilon$."

score 108 · Answer 4 · 2014-06-08 12:44:39

108

Views

int$(A) \subseteq$int$(A')$ and int$(A) \subseteq A'$

Published on 08 Jun 2014 - 12:44

score 730 · Answer 5 · 2026-04-10 23:51:25

730

Views

Difference between F-space and Frechet space in W. Rudin's "Functional Analysis"

Published on 10 Apr 2026 - 23:51

score 94 · Answer 6 · 2026-04-13 08:14:43

94

Views

Can I show these questions (is a set open or closed WRT metric) a faster way?

Published on 13 Apr 2026 - 8:14

score 829 · Answer 7 · 2026-04-13 16:18:05

829

Views

Rudin: A compact metric space $K$ has a countable base, therefore $K$ is separable.

Published on 13 Apr 2026 - 16:18

score 1.1k · Answer 8 · 2026-04-09 10:38:09

1.1k

Views

Compact Space: Locally Continuous $\implies$ Uniformly Continuous

Published on 09 Apr 2026 - 10:38

score 127 · Answer 9 · 2014-06-09 23:09:49

127

Views

Let $f$ be a continuous functions from $[0,1]$ to $\mathbb{R}$. Then, $f$ is not necessarrily lipschitz.

Published on 09 Jun 2014 - 23:09

score 230 · Answer 10 · 2026-04-12 01:13:24

230

Views

Completeness: Nets vs. Sequences

Published on 12 Apr 2026 - 1:13

score 109 · Answer 11 · 2026-04-13 11:29:46

109

Views

A question about equivalent metrics.

Published on 13 Apr 2026 - 11:29

score 48 · Answer 12 · 2026-04-10 01:05:17

48

Views

replace convergence with continuity?(metric spaces)

Published on 10 Apr 2026 - 1:05

score 53 · Answer 13 · 2026-04-13 15:20:05

53

Views

Help Me Understand: Proof that Finite Intersection of Open Sets is Open

Published on 13 Apr 2026 - 15:20

score 1.5k · Answer 14 · 2026-04-12 01:32:32

1.5k

Views

triangle inequality to show metric

Published on 12 Apr 2026 - 1:32

score 46 · Answer 15 · 2014-06-11 08:59:48

46

Views

$l_{p}$ metric on $\mathbb{R}^{n}$ and its open balls

Published on 11 Jun 2014 - 8:59

List Question

For any countable $ A$ , $B \subseteq A \implies B \cap B\space' \ne B $

Function that's a metric on one space but not another?

"Every seq. in $X$ has a Cauchy subseq." implies "$\forall\epsilon > 0, \exists $ a finite set $T$, s.t. $\forall x\in X, d(x,T)<\epsilon$."

int$(A) \subseteq$int$(A')$ and int$(A) \subseteq A'$

Difference between F-space and Frechet space in W. Rudin's "Functional Analysis"

Can I show these questions (is a set open or closed WRT metric) a faster way?

Rudin: A compact metric space $K$ has a countable base, therefore $K$ is separable.

Compact Space: Locally Continuous $\implies$ Uniformly Continuous

Let $f$ be a continuous functions from $[0,1]$ to $\mathbb{R}$. Then, $f$ is not necessarrily lipschitz.

Completeness: Nets vs. Sequences

A question about equivalent metrics.

replace convergence with continuity?(metric spaces)

Help Me Understand: Proof that Finite Intersection of Open Sets is Open

triangle inequality to show metric

$l_{p}$ metric on $\mathbb{R}^{n}$ and its open balls

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