# examples of metric spaces

The aim of this entry is to list metric spaces that have a standard metric.

## Distance on set

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

• Valuated field, i.e. a field and its valuation

## Function spaces

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

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

• $\mathscr{S}$; the Schwartz space of rapidly decreasing functions (http://planetmath.org/SpaceOfRapidlyDecreasingFunctions)

Title examples of metric spaces ExamplesOfMetricSpaces 2013-03-22 15:06:13 2013-03-22 15:06:13 matte (1858) matte (1858) 9 matte (1858) Topic msc 54E35