G. Pantsulaia

An Application of Independent Families of Sets to the Measure Extension Problem

The method of independent families of sets elaborated by Tarski (1976) and Kakutani and Oxtoby (1950) is applied to the construction of maximal (in the sense of cardinality) families of pairwise orthogonal nonseparable invariant extensions of Haar measures.

Haar measure, invariant extension of measure.

MSC 2000: 28A05, 28D05.