Question

Is the barycenter of a convex curve in $\mathbb R^2$ Lipschitz with respect to the Hausdorff distance?

score 210 · Answer 1 · 2026-03-25 17:41:58

210

Views

Is the barycenter of a convex curve in $\mathbb R^2$ Lipschitz with respect to the Hausdorff distance?

Published on 25 Mar 2026 - 17:41

score 44 · Answer 2 · 2019-09-24 17:47:27

44

Views

Proof check that the set $A$ of subsequential limits of a series ${p_n}$ in a metric space is closed.

Published on 24 Sep 2019 - 17:47

score 51 · Answer 3 · 2026-04-11 14:06:14

51

Views

Topological Equivalence of Norms

Published on 11 Apr 2026 - 14:06

score 80 · Answer 4 · 2026-03-26 06:29:03

80

Views

Show that $\mathbb{T}^n=\mathbb{R}^n/\mathbb{Z}^n$ is complete and compact with respect to given metric.

Published on 26 Mar 2026 - 6:29

score 89 · Answer 5 · 2026-04-09 03:06:32

89

Views

Questions about a proof in Rudin's principles of mathematical analysis

Published on 09 Apr 2026 - 3:06

score 28 · Answer 6 · 2026-04-11 08:41:16

28

Views

Show that the function $s$ is continuous

Published on 11 Apr 2026 - 8:41

score 80 · Answer 7 · 2026-03-25 12:26:10

80

Views

What is the Assouad dimension of a complete unit ball?

Published on 25 Mar 2026 - 12:26

score 463 · Answer 8 · 2026-03-30 11:17:04

463

Views

Show that each connected component of $[0,1]-S$ is an open interval $(a,b)$ with $a,b \in S$

Published on 30 Mar 2026 - 11:17

score 1.7k · Answer 9 · 2026-04-01 15:43:37

1.7k

Views

Let $X$ and $Y$ be metric spaces, $X$ compact, and $T: X \to Y$ bijective and continuous. Show that $T$ is a homeomorphism.

Published on 01 Apr 2026 - 15:43

score 78 · Answer 10 · 2019-09-26 01:50:00

78

Views

prove $d(f,g):=\sup_{x \in X} d(f(x),g(x))$ is finite.

Published on 26 Sep 2019 - 1:50

score 401 · Answer 11 · 2026-04-10 20:43:45

401

Views

There is not enough space...!?

Published on 10 Apr 2026 - 20:43

score 165 · Answer 12 · 2026-04-12 06:11:24

165

Views

Show the closed ball contains all of it's boundary points

Published on 12 Apr 2026 - 6:11

score 173 · Answer 13 · 2026-04-11 14:35:03

173

Views

Double limit in metric space

Published on 11 Apr 2026 - 14:35

score 355 · Answer 14 · 2026-03-26 04:53:25

355

Views

How to prove that $X$ is a completion of $Y$, for some metric spcaes $(X,d)$ and $(Y,d)$?

Published on 26 Mar 2026 - 4:53

score 134 · Answer 15 · 2026-03-27 21:20:40

134

Views

Different proof for the inequality $b \gcd(a,c)^2+ a \gcd(b,c)^2-c \gcd(a,b)^2 \le abc$?

Published on 27 Mar 2026 - 21:20

List Question

Is the barycenter of a convex curve in $\mathbb R^2$ Lipschitz with respect to the Hausdorff distance?

Proof check that the set $A$ of subsequential limits of a series ${p_n}$ in a metric space is closed.

Topological Equivalence of Norms

Show that $\mathbb{T}^n=\mathbb{R}^n/\mathbb{Z}^n$ is complete and compact with respect to given metric.

Questions about a proof in Rudin's principles of mathematical analysis

Show that the function $s$ is continuous

What is the Assouad dimension of a complete unit ball?

Show that each connected component of $[0,1]-S$ is an open interval $(a,b)$ with $a,b \in S$

Let $X$ and $Y$ be metric spaces, $X$ compact, and $T: X \to Y$ bijective and continuous. Show that $T$ is a homeomorphism.

prove $d(f,g):=\sup_{x \in X} d(f(x),g(x))$ is finite.

There is not enough space...!?

Show the closed ball contains all of it's boundary points

Double limit in metric space

How to prove that $X$ is a completion of $Y$, for some metric spcaes $(X,d)$ and $(Y,d)$?

Different proof for the inequality $b \gcd(a,c)^2+ a \gcd(b,c)^2-c \gcd(a,b)^2 \le abc$?

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