List questions from metric-spaces

Published on 25 Feb 2019 - 23:08

973

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Helly's Selection Principle

Published on 26 Feb 2019 - 5:46

127

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Existence of open ball in whole space from the existence of nonempty open set in subspace

Published on 28 Feb 2019 - 10:19

91

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Proving open set without Cauchy-Schwarz or Preimage

Published on 28 Feb 2019 - 10:39

91

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How to show that $\rho(x,y) := \inf\limits_{f\in \mathcal{F}}\{f(x,y)\}$ defines a metric on $X$?

Published on 28 Feb 2019 - 11:28

108

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Free faces in $M_\kappa$ polyhedral complexes.

Published on 25 Mar 2026 - 1:21

1k

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$||.||_1$, $||.||_2$ two equivalent norms, conclude $(X, ||.||_1)$ is Banach $\iff$ $(X, ||.||_2)$ is Banach

Published on 28 Feb 2019 - 23:10

61

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If $B_{r}(x)\subseteq B_{s}(y)$ then what can be said about $\vert \vert x-y \vert \vert$

Published on 01 Mar 2019 - 0:04

162

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What 2-surface can be enclosed in 3-volume?

Published on 01 Mar 2019 - 17:55

185

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Distance to the boundary function in a disk

Published on 01 Mar 2019 - 20:12

35

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Find all $M \subset \Bbb R^n$ s.t. $ \exists r>0 \; \forall x \in M: K_r(x) \subset M$

Published on 01 Mar 2019 - 21:16

146

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$ X=C^1([0,1],\mathbb{R})$ and $||f||=\max\{||f||_{\infty}, ||f'||_{\infty}\}$ form a Banach space

Published on 01 Apr 2026 - 22:38

122

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$\{f\in C[a,b]:f(x)>0\}$ is open

Published on 02 Mar 2019 - 22:50

98

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Valid metric on a hyperbolic space

Published on 26 Mar 2026 - 10:45

317

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$||f|| = \int_0^1 |f(x)| dx$ and $||.||_{\infty}$ are not equivalent norms

Published on 01 Apr 2026 - 22:35

List Question

Finding the sphere?

Helly's Selection Principle

Existence of open ball in whole space from the existence of nonempty open set in subspace

Proving open set without Cauchy-Schwarz or Preimage

How to show that $\rho(x,y) := \inf\limits_{f\in \mathcal{F}}\{f(x,y)\}$ defines a metric on $X$?

Free faces in $M_\kappa$ polyhedral complexes.

$||.||_1$, $||.||_2$ two equivalent norms, conclude $(X, ||.||_1)$ is Banach $\iff$ $(X, ||.||_2)$ is Banach

If $B_{r}(x)\subseteq B_{s}(y)$ then what can be said about $\vert \vert x-y \vert \vert$

What 2-surface can be enclosed in 3-volume?

Distance to the boundary function in a disk

Find all $M \subset \Bbb R^n$ s.t. $ \exists r>0 \; \forall x \in M: K_r(x) \subset M$

$ X=C^1([0,1],\mathbb{R})$ and $||f||=\max\{||f||_{\infty}, ||f'||_{\infty}\}$ form a Banach space

$\{f\in C[a,b]:f(x)>0\}$ is open

Valid metric on a hyperbolic space

$||f|| = \int_0^1 |f(x)| dx$ and $||.||_{\infty}$ are not equivalent norms

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