Miklos Schweitzer 1974_8
Source:
November 12, 2008
real analysisfunctionadvanced fieldsadvanced fields unsolved
Problem Statement
Prove that there exists a topological space containing the real line as a subset, such that the Lebesgue-measurable functions, and only those, extend continuously over . Show that the real line cannot be an everywhere-dense subset of such a space .
A. Csaszar