Question

Question regarding Rudin's proof that for $Y \subset X$, $E \subset Y$ is open relative to $Y$ iff $E = Y \cap G$ for some open $G \subset X$

score 1.3k · Answer 1 · 2018-08-18 08:45:49

1.3k

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Question regarding Rudin's proof that for $Y \subset X$, $E \subset Y$ is open relative to $Y$ iff $E = Y \cap G$ for some open $G \subset X$

Published on 18 Aug 2018 - 8:45

score 103 · Answer 2 · 2018-08-18 15:46:30

103

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Equivalent bases on $I$

Published on 18 Aug 2018 - 15:46

score 321 · Answer 3 · 2026-03-25 12:37:37

321

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Uniform distribution of points in hyperball: deterministic arrangement?

Published on 25 Mar 2026 - 12:37

score 48 · Answer 4 · 2018-08-19 05:50:49

48

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Properties of locally compact metric spaces.

Published on 19 Aug 2018 - 5:50

score 1.7k · Answer 5 · 2018-08-19 22:13:48

1.7k

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norm induced by distance implies translation invariant distance?

Published on 19 Aug 2018 - 22:13

score 804 · Answer 6 · 2018-08-20 16:28:23

804

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Let $G$ be a connected open set and let $f: G \to \mathbb{C}$ be an analytic function. Then the following are equivalent statements:

Published on 20 Aug 2018 - 16:28

score 163 · Answer 7 · 2026-03-29 20:54:14

163

Views

Hardy-littlewood maximal inequality for doubling measures

Published on 29 Mar 2026 - 20:54

score 234 · Answer 8 · 2026-03-24 23:54:57

234

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Visualization of open balls for different metric spaces

Published on 24 Mar 2026 - 23:54

score 277 · Answer 9 · 2018-08-22 09:20:58

277

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Homeomorphism group of compact metric space $K$ is $G_{\delta}$ in $C(K,K)$

Published on 22 Aug 2018 - 9:20

score 1.2k · Answer 10 · 2026-03-29 07:28:43

1.2k

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Bolzano-Weierstrass property and compactness

Published on 29 Mar 2026 - 7:28

score 252 · Answer 11 · 2018-08-22 18:57:36

252

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For $x,y \in \mathbb R$, let $d(x,y) = |x-y|/(1+|x-y|)$. Determine whether $d$ defines a metric on $\mathbb R$.

Published on 22 Aug 2018 - 18:57

score 55 · Answer 12 · 2018-08-22 20:25:00

55

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showing two metric spaces are comparable and equal

Published on 22 Aug 2018 - 20:25

score 109 · Answer 13 · 2026-03-27 07:13:19

109

Views

Is this statement by my real analysis teacher redundant/incorrect?

Published on 27 Mar 2026 - 7:13

score 37 · Answer 14 · 2018-08-23 08:30:09

37

Views

How to show given set Compact and Perfect?

Published on 23 Aug 2018 - 8:30

score 109 · Answer 15 · 2026-03-30 03:22:00

109

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If a subspace $V_1$ is close to a subspace $V_2$ of the same dimension, is $V_2$ close to $V_1$?

Published on 30 Mar 2026 - 3:22

List Question

Question regarding Rudin's proof that for $Y \subset X$, $E \subset Y$ is open relative to $Y$ iff $E = Y \cap G$ for some open $G \subset X$

Equivalent bases on $I$

Uniform distribution of points in hyperball: deterministic arrangement?

Properties of locally compact metric spaces.

norm induced by distance implies translation invariant distance?

Let $G$ be a connected open set and let $f: G \to \mathbb{C}$ be an analytic function. Then the following are equivalent statements:

Hardy-littlewood maximal inequality for doubling measures

Visualization of open balls for different metric spaces

Homeomorphism group of compact metric space $K$ is $G_{\delta}$ in $C(K,K)$

Bolzano-Weierstrass property and compactness

For $x,y \in \mathbb R$, let $d(x,y) = |x-y|/(1+|x-y|)$. Determine whether $d$ defines a metric on $\mathbb R$.

showing two metric spaces are comparable and equal

Is this statement by my real analysis teacher redundant/incorrect?

How to show given set Compact and Perfect?

If a subspace $V_1$ is close to a subspace $V_2$ of the same dimension, is $V_2$ close to $V_1$?

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