MathDB

Miklos Schweitzer 1970_6

Source:

October 22, 2008

real analysistopologyadvanced fieldsadvanced fields unsolved

Problem Statement

Let a neighborhood basis of a point

x

of the real line consist of all Lebesgue-measurable sets containing

x

whose density at

x

equals

1

. Show that this requirement defines a topology that is regular but not normal. A. Csaszar