Vitali covering

A collectionMathworldPlanetmath of sets 𝒱 in a metric space X is called a Vitali covering (or Vitali class) for X if for each xX and δ>0 there exists U𝒱 such that xU and 0<diam(U)δ.

Title Vitali covering
Canonical name VitaliCovering
Date of creation 2013-03-22 13:29:48
Last modified on 2013-03-22 13:29:48
Owner Koro (127)
Last modified by Koro (127)
Numerical id 6
Author Koro (127)
Entry type Definition
Classification msc 54E99
Defines Vitali class