examples of metric spaces
The aim of this entry is to list metric spaces that have a standard metric.
Distance on set

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Euclidean metric on ${\mathbb{R}}^{n}$ and on open subsets of ${\mathbb{R}}^{n}$,
 •

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Hausdorff metric on sets

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Valuated field, i.e. a field and its valuation
Function spaces

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${L}^{p}$ functions^{} (http://planetmath.org/LpSpace)

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$\mathcal{O}(G)$; holomorphic functions^{} (http://planetmath.org/SpaceOfAnalyticFunctions)

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$\mathcal{S}$; the Schwartz space^{} of rapidly decreasing functions (http://planetmath.org/SpaceOfRapidlyDecreasingFunctions)
Title  examples of metric spaces 

Canonical name  ExamplesOfMetricSpaces 
Date of creation  20130322 15:06:13 
Last modified on  20130322 15:06:13 
Owner  matte (1858) 
Last modified by  matte (1858) 
Numerical id  9 
Author  matte (1858) 
Entry type  Topic 
Classification  msc 54E35 