Question

$d_p$ and $d_\infty$ in $\mathbb{C}^n$ are uniformly equivalent

score 542 · Answer 1 · 2019-03-05 12:56:40

542

Views

$d_p$ and $d_\infty$ in $\mathbb{C}^n$ are uniformly equivalent

Published on 05 Mar 2019 - 12:56

score 97 · Answer 2 · 2026-03-25 16:02:09

97

Views

Can any result on metric spaces be applied to metrizable spaces?

Published on 25 Mar 2026 - 16:02

score 212 · Answer 3 · 2026-03-25 09:36:34

212

Views

KIlling vectors from isometries and orbit spaces

Published on 25 Mar 2026 - 9:36

score 1k · Answer 4 · 2026-03-28 14:37:50

1k

Views

Space of lipschitz functions form a Banach space

Published on 28 Mar 2026 - 14:37

score 66 · Answer 5 · 2026-04-02 00:15:02

66

Views

Norm $|\!|\!|x|\!|\!|=\sum_{i=1}^{\infty} 2^{-i}|x_i|$ in $l_2$ is not equivalent to the norm $\|\cdot \|_2$

Published on 02 Apr 2026 - 0:15

score 169 · Answer 6 · 2026-03-26 01:06:06

169

Views

Best approximation of an arbitrary matrix by a distance matrix

Published on 26 Mar 2026 - 1:06

score 1.8k · Answer 7 · 2026-03-26 01:04:38

1.8k

Views

Prob. 7 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A contraction of a compact metric space has a unique fixed point

Published on 26 Mar 2026 - 1:04

score 221 · Answer 8 · 2019-03-06 19:53:42

221

Views

Topologies generated by the metric $d(x,y)=|f(x)-f(y)|$ for $f$ increasing function and euclidean metric are equivalent

Published on 06 Mar 2019 - 19:53

score 45 · Answer 9 · 2026-03-25 13:54:15

45

Views

Equipping finite space with metric

Published on 25 Mar 2026 - 13:54

score 374 · Answer 10 · 2026-04-02 00:17:32

374

Views

Which metrics reflects similarity of two curved line segments?

Published on 02 Apr 2026 - 0:17

score 59 · Answer 11 · 2019-03-07 09:10:58

59

Views

Is $\Bbb{R}$ with this metric $\rho(x,y)=\left| \frac{x}{1+|x|}-\frac{y}{1+|y|} \right|$ complete?

Published on 07 Mar 2019 - 9:10

score 165 · Answer 12 · 2019-03-07 11:34:53

165

Views

Relatively Open Subset, Proof

Published on 07 Mar 2019 - 11:34

score 645 · Answer 13 · 2026-03-25 12:54:22

645

Views

example of an "almost-metric" without symmetry

Published on 25 Mar 2026 - 12:54

score 137 · Answer 14 · 2026-03-29 12:39:17

If $x \in X$ is a non-wandering point of $f:X \to X$, then $(\forall U \ni x)$, there exist infinitely many $n$ s.t. $f^n(U) \cap U \neq \emptyset$.

score 349 · Answer 15 · 2019-03-07 23:30:13

349

Views

Proving triangle inequality of $\sin|x-y|$ on $[0,\pi/2).$

Published on 07 Mar 2019 - 23:30

List Question

$d_p$ and $d_\infty$ in $\mathbb{C}^n$ are uniformly equivalent

Can any result on metric spaces be applied to metrizable spaces?

KIlling vectors from isometries and orbit spaces

Space of lipschitz functions form a Banach space

Norm $|\!|\!|x|\!|\!|=\sum_{i=1}^{\infty} 2^{-i}|x_i|$ in $l_2$ is not equivalent to the norm $\|\cdot \|_2$

Best approximation of an arbitrary matrix by a distance matrix

Prob. 7 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A contraction of a compact metric space has a unique fixed point

Topologies generated by the metric $d(x,y)=|f(x)-f(y)|$ for $f$ increasing function and euclidean metric are equivalent

Equipping finite space with metric

Which metrics reflects similarity of two curved line segments?

Is $\Bbb{R}$ with this metric $\rho(x,y)=\left| \frac{x}{1+|x|}-\frac{y}{1+|y|} \right|$ complete?

Relatively Open Subset, Proof

example of an "almost-metric" without symmetry

If $x \in X$ is a non-wandering point of $f:X \to X$, then $(\forall U \ni x)$, there exist infinitely many $n$ s.t. $f^n(U) \cap U \neq \emptyset$.

Proving triangle inequality of $\sin|x-y|$ on $[0,\pi/2).$

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