Question

Positive definite function with respect to a closed set

score 120 · Answer 1 · 2018-02-28 23:03:48

120

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Positive definite function with respect to a closed set

Published on 28 Feb 2018 - 23:03

score 1.9k · Answer 2 · 2026-03-28 22:36:52

1.9k

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The Sequence $(\frac{1}{n})_{n \in \mathbb{N}}$ Does Not Converge in $\mathbb{R}$ w. discrete metric

Published on 28 Mar 2026 - 22:36

score 88 · Answer 3 · 2026-03-27 12:01:08

88

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Showing compactness and precompactness

Published on 27 Mar 2026 - 12:01

score 372 · Answer 4 · 2026-03-24 22:51:53

372

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The Lipschitz constant of the combination of distance functions used to separate two sets

Published on 24 Mar 2026 - 22:51

score 1.1k · Answer 5 · 2018-03-02 13:37:15

1.1k

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Continuous function between a topological and a metric space

Published on 02 Mar 2018 - 13:37

score 124 · Answer 6 · 2018-03-02 18:02:34

124

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Does there exist a function $f$ from $R^2$ to $R$ and constant $c_0>0$ such that for all $x,y\in R^2$, $|f(x)-f(y)| \ge c_0|x-y|^2$?

Published on 02 Mar 2018 - 18:02

score 125 · Answer 7 · 2018-03-03 08:09:34

Why is it that when working in the reals, we can choose our metric to be the absolute value in proving things pertaining to convergence

score 50 · Answer 8 · 2026-03-27 07:14:07

50

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What does this notation of open sets $B(x,y)$ mean?

Published on 27 Mar 2026 - 7:14

score 1.7k · Answer 9 · 2026-03-28 22:24:17

1.7k

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Open Sets and Sequence Convergence

Published on 28 Mar 2026 - 22:24

score 507 · Answer 10 · 2026-03-24 23:46:03

507

Views

Quotient metric on a complete Riemannian manifold

Published on 24 Mar 2026 - 23:46

score 624 · Answer 11 · 2026-03-25 06:03:22

624

Views

Closed and bounded but not compact subset of $\ell^1$

Published on 25 Mar 2026 - 6:03

score 101 · Answer 12 · 2026-03-28 23:59:13

101

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Closure of $(0, 1)$ and Convergence of $\frac{1}{n}$

Published on 28 Mar 2026 - 23:59

score 1.1k · Answer 13 · 2018-03-06 13:51:31

1.1k

Views

Does any bounded set $A$ have bounded boundary $\partial A$?

Published on 06 Mar 2018 - 13:51

score 1.1k · Answer 14 · 2018-03-07 02:14:19

1.1k

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Let $\{x_n\}$ be a sequence in a metric space such that $\{x_{2n}\}$, $\{x_{2n+1}\}$ and $\{x_{3n}\}$ all convergent. Show that $\{x_{n}\}$ converges

Published on 07 Mar 2018 - 2:14

score 71 · Answer 15 · 2026-03-25 03:04:09

71

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Phrasing $\lim_{n \to \infty}A^n v = w \implies Aw=w$ as a consequence of Banach's Fixed Point Theorem

Published on 25 Mar 2026 - 3:04

List Question

Positive definite function with respect to a closed set

The Sequence $(\frac{1}{n})_{n \in \mathbb{N}}$ Does Not Converge in $\mathbb{R}$ w. discrete metric

Showing compactness and precompactness

The Lipschitz constant of the combination of distance functions used to separate two sets

Continuous function between a topological and a metric space

Does there exist a function $f$ from $R^2$ to $R$ and constant $c_0>0$ such that for all $x,y\in R^2$, $|f(x)-f(y)| \ge c_0|x-y|^2$?

Why is it that when working in the reals, we can choose our metric to be the absolute value in proving things pertaining to convergence

What does this notation of open sets $B(x,y)$ mean?

Open Sets and Sequence Convergence

Quotient metric on a complete Riemannian manifold

Closed and bounded but not compact subset of $\ell^1$

Closure of $(0, 1)$ and Convergence of $\frac{1}{n}$

Does any bounded set $A$ have bounded boundary $\partial A$?

Let $\{x_n\}$ be a sequence in a metric space such that $\{x_{2n}\}$, $\{x_{2n+1}\}$ and $\{x_{3n}\}$ all convergent. Show that $\{x_{n}\}$ converges

Phrasing $\lim_{n \to \infty}A^n v = w \implies Aw=w$ as a consequence of Banach's Fixed Point Theorem

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