Question

Prove the closure is closed and is contained in every closed set

score 1.9k · Answer 1 · 2018-04-25 17:32:21

1.9k

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Prove the closure is closed and is contained in every closed set

Published on 25 Apr 2018 - 17:32

score 77 · Answer 2 · 2018-04-26 15:50:40

77

Views

Let f and g continuous, then if x contained in open ball with center a, and f(x)=g(x), then f(a)=g(a)

Published on 26 Apr 2018 - 15:50

score 228 · Answer 3 · 2018-04-26 15:59:10

228

Views

Distance between probability measures supported in different dimensions

Published on 26 Apr 2018 - 15:59

score 265 · Answer 4 · 2026-03-22 17:52:31

265

Views

Question about statements of Arzelà-Ascoli Theorem

Published on 22 Mar 2026 - 17:52

score 154 · Answer 5 · 2018-04-27 05:36:50

154

Views

Prove that $N((0,0);1)$ is an open set in $\mathbb{R}\times\mathbb{R}$ with metric $d((x_1,x_2),(y_1,y_2))=|x_1-y_1|+|x_2-y_2|$.

Published on 27 Apr 2018 - 5:36

score 360 · Answer 6 · 2026-03-25 08:04:54

360

Views

Decreasing sequence of closed sets in a separable metric space

Published on 25 Mar 2026 - 8:04

score 109 · Answer 7 · 2026-03-25 06:05:50

109

Views

metric $d(a,b)=2\frac{|a-b|}{a+b},a,b>0$ satisfies triangle inequality

Published on 25 Mar 2026 - 6:05

score 273 · Answer 8 · 2026-03-25 19:05:05

273

Views

Proof verification for a couple of theorems regarding Lebesgue's number

Published on 25 Mar 2026 - 19:05

score 859 · Answer 9 · 2026-03-25 04:43:50

859

Views

Prove that $(f_n)$ is a Cauchy sequence, but that it does not converge relative to $N_1$ to an element of $C[0,1].$

Published on 25 Mar 2026 - 4:43

score 1.2k · Answer 10 · 2026-03-25 19:24:55

1.2k

Views

How do we define the distance between two lines or planes that intersect?

Published on 25 Mar 2026 - 19:24

score 1.1k · Answer 11 · 2018-04-28 13:38:36

1.1k

Views

Countable set open or closed?

Published on 28 Apr 2018 - 13:38

score 170 · Answer 12 · 2018-04-28 15:14:16

170

Views

Fixing proof that if $\overline{A}\cap B=A\cap\overline{B}=\varnothing$, there exists $U,V$ such that $A\subset U$ and $B\subset V$

Published on 28 Apr 2018 - 15:14

score 60 · Answer 13 · 2018-04-29 03:37:06

60

Views

Prove that $\exists x_0\in S^1$ such that $f(x_0)=f(-x_0)$

Published on 29 Apr 2018 - 3:37

score 40 · Answer 14 · 2018-04-29 10:44:42

40

Views

Do those sequences converge?

Published on 29 Apr 2018 - 10:44

score 1k · Answer 15 · 2026-03-25 20:06:33

1k

Views

Equivalence of sup-Norm in metric space induced by norm

Published on 25 Mar 2026 - 20:06

List Question

Prove the closure is closed and is contained in every closed set

Let f and g continuous, then if x contained in open ball with center a, and f(x)=g(x), then f(a)=g(a)

Distance between probability measures supported in different dimensions

Question about statements of Arzelà-Ascoli Theorem

Prove that $N((0,0);1)$ is an open set in $\mathbb{R}\times\mathbb{R}$ with metric $d((x_1,x_2),(y_1,y_2))=|x_1-y_1|+|x_2-y_2|$.

Decreasing sequence of closed sets in a separable metric space

metric $d(a,b)=2\frac{|a-b|}{a+b},a,b>0$ satisfies triangle inequality

Proof verification for a couple of theorems regarding Lebesgue's number

Prove that $(f_n)$ is a Cauchy sequence, but that it does not converge relative to $N_1$ to an element of $C[0,1].$

How do we define the distance between two lines or planes that intersect?

Countable set open or closed?

Fixing proof that if $\overline{A}\cap B=A\cap\overline{B}=\varnothing$, there exists $U,V$ such that $A\subset U$ and $B\subset V$

Prove that $\exists x_0\in S^1$ such that $f(x_0)=f(-x_0)$

Do those sequences converge?

Equivalence of sup-Norm in metric space induced by norm

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