List questions from ultrametric

Published on 14 Sep 2018 - 22:25

54

Views

Unique Partition of $\{1, \dotsc, n\}$ by Ultrametric Property

Published on 14 Nov 2018 - 8:31

36

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If $\beta^n + \alpha_1 \beta^{n-1} + \dots + \alpha_n = 0$, $|\alpha_i | \leq 1$, then $|\beta| \leq 1$, with $|\cdot|$ ultrametric absolute value.

Published on 28 Nov 2018 - 5:35

220

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Are there any equilateral triangles in a p-adic field?

Published on 19 Dec 2018 - 9:38

27

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dendrogram node height

Published on 14 May 2019 - 19:21

97

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Norm topology vs Zariski topology in non-Archimedean setting

Published on 05 Nov 2019 - 20:56

190

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Proof that every ultrametric space is a metric space

Published on 08 Mar 2020 - 12:33

148

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Proving ultrametric spaces

Published on 08 Mar 2020 - 14:24

72

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What's the meaning of "discrete" in the next theorem?

Published on 25 Apr 2020 - 7:23

113

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Defining p-adic numbers via formal competion: Question about continuity of multiplication

Published on 06 Jul 2020 - 22:31

33

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Variant of Quotient Metric is an Ultrametric

Published on 15 Jul 2020 - 8:51

215

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Is the difference between metric spaces and ultrametric spaces topological?

Published on 19 Jul 2023 - 11:40

358

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Is every zero-dimensional metrisable space ultrametrisable?

Published on 17 Oct 2020 - 22:55

378

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Real life examples of ultrametrics or "the isosceles triangle principle"

Published on 11 Aug 2021 - 19:11

97

Views

A circle is open in an ultrametric space.

Published on 22 Sep 2021 - 12:51

List Question

prove the following lemma about a compact space and a ultrametric.

Unique Partition of $\{1, \dotsc, n\}$ by Ultrametric Property

If $\beta^n + \alpha_1 \beta^{n-1} + \dots + \alpha_n = 0$, $|\alpha_i | \leq 1$, then $|\beta| \leq 1$, with $|\cdot|$ ultrametric absolute value.

Are there any equilateral triangles in a p-adic field?

dendrogram node height

Norm topology vs Zariski topology in non-Archimedean setting

Proof that every ultrametric space is a metric space

Proving ultrametric spaces

What's the meaning of "discrete" in the next theorem?

Defining p-adic numbers via formal competion: Question about continuity of multiplication

Variant of Quotient Metric is an Ultrametric

Is the difference between metric spaces and ultrametric spaces topological?

Is every zero-dimensional metrisable space ultrametrisable?

Real life examples of ultrametrics or "the isosceles triangle principle"

A circle is open in an ultrametric space.

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