Question

Show that for $x\in X'$ there exists $\lambda_x\in\Lambda$ such that $B(x,\delta)\subset O_{\lambda_x}$ in a metric space

score 20 · Answer 1 · 2018-11-04 17:14:38

Show that for $x\in X'$ there exists $\lambda_x\in\Lambda$ such that $B(x,\delta)\subset O_{\lambda_x}$ in a metric space

score 74 · Answer 2 · 2026-03-28 16:21:24

74

Views

Is this set dense in $\mathcal{C}^{\infty} (\mathbb{S}^3 , \mathbb{R}^3 ) $?

Published on 28 Mar 2026 - 16:21

score 46 · Answer 3 · 2018-11-04 18:11:04

46

Views

If $K_\epsilon=\bigcup_{z\in K}\overline{D_\epsilon (z)}$, $K_\epsilon$ is compact.

Published on 04 Nov 2018 - 18:11

score 92 · Answer 4 · 2026-03-31 12:02:00

92

Views

Is this set in $\mathbb{R}^d$ closed?

Published on 31 Mar 2026 - 12:02

score 27 · Answer 5 · 2018-11-04 18:59:22

27

Views

Given a measure $\mu$ on some $\sigma$-algebra $A$, prove that $d(x,y)=\mu((x-y)\cup(y-x))$ is a metric.

Published on 04 Nov 2018 - 18:59

score 385 · Answer 6 · 2026-03-27 14:59:05

385

Views

Finding norm on $C[0,1]$ , which is not equivalent to the supremum norm, but which still makes $C[0,1]$ into a separable Banach space

Published on 27 Mar 2026 - 14:59

score 40 · Answer 7 · 2026-03-26 23:11:26

40

Views

Why is $f(x)=\inf \{ r \in \mathbb{Q} ;x \in U(r)\}$?

Published on 26 Mar 2026 - 23:11

score 233 · Answer 8 · 2018-11-05 11:38:17

233

Views

Bourbaki's Mittag-Leffler theorem

Published on 05 Nov 2018 - 11:38

score 559 · Answer 9 · 2018-11-05 13:00:05

559

Views

Has anyone ever used the size of the symmetric difference of two sets $X,Y$ as a metric on finite sets?

Published on 05 Nov 2018 - 13:00

score 65 · Answer 10 · 2018-11-05 13:53:15

65

Views

All abelian groups are top.groups?

Published on 05 Nov 2018 - 13:53

score 46 · Answer 11 · 2026-03-25 06:24:31

46

Views

Separable $\Rightarrow$ Lindelöf for metric spaces without using second-countability

Published on 25 Mar 2026 - 6:24

score 806 · Answer 12 · 2018-11-06 20:51:14

806

Views

Continuous image of a closed and bounded set in a metric space is closed?

Published on 06 Nov 2018 - 20:51

score 247 · Answer 13 · 2026-03-25 14:39:21

247

Views

All quasi-isometry is coarsely surjective.

Published on 25 Mar 2026 - 14:39

score 27 · Answer 14 · 2026-04-02 20:09:48

27

Views

Bound of Metrics for Renormalizing Space

Published on 02 Apr 2026 - 20:09

score 41 · Answer 15 · 2018-11-07 18:16:13

41

Views

Closed subspace of the $C[-1, 1]$ with inner product $(f, g) = \int \limits_{-1}^1 f(t) \bar g(t) \operatorname{d}t$.

Published on 07 Nov 2018 - 18:16

List Question

Show that for $x\in X'$ there exists $\lambda_x\in\Lambda$ such that $B(x,\delta)\subset O_{\lambda_x}$ in a metric space

Is this set dense in $\mathcal{C}^{\infty} (\mathbb{S}^3 , \mathbb{R}^3 ) $?

If $K_\epsilon=\bigcup_{z\in K}\overline{D_\epsilon (z)}$, $K_\epsilon$ is compact.

Is this set in $\mathbb{R}^d$ closed?

Given a measure $\mu$ on some $\sigma$-algebra $A$, prove that $d(x,y)=\mu((x-y)\cup(y-x))$ is a metric.

Finding norm on $C[0,1]$ , which is not equivalent to the supremum norm, but which still makes $C[0,1]$ into a separable Banach space

Why is $f(x)=\inf \{ r \in \mathbb{Q} ;x \in U(r)\}$?

Bourbaki's Mittag-Leffler theorem

Has anyone ever used the size of the symmetric difference of two sets $X,Y$ as a metric on finite sets?

All abelian groups are top.groups?

Separable $\Rightarrow$ Lindelöf for metric spaces without using second-countability

Continuous image of a closed and bounded set in a metric space is closed?

All quasi-isometry is coarsely surjective.

Bound of Metrics for Renormalizing Space

Closed subspace of the $C[-1, 1]$ with inner product $(f, g) = \int \limits_{-1}^1 f(t) \bar g(t) \operatorname{d}t$.

Trending Questions

Popular # Hahtags

Popular Questions