examples of metric spaces
The aim of this entry is to list metric spaces that have astandard metric.
Distance on set
- •
Euclidean metric on and on open subsets of ,
- •
Normed vector spaces
,
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Hausdorff metric on sets
- •
Valuated field, i.e. a field and its valuation
Function spaces
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functions
(http://planetmath.org/LpSpace)
- •
; holomorphic functions
(http://planetmath.org/SpaceOfAnalyticFunctions)
- •
; theSchwartz space
of rapidly decreasing functions (http://planetmath.org/SpaceOfRapidlyDecreasingFunctions)