6533b86ffe1ef96bd12cd2a7

RESEARCH PRODUCT

Equivalence Relations on Stonian Spaces

Wolfgang Filter

subject

Mathematics(all)Representation theoremquotient spaceRiesz–Markov–Kakutani representation theoremGeneral Mathematicsba spacerepresentation of a space of measuresQuotient space (linear algebra)Stone representation spaceAlgebranormal Radon measureStonian spaceEquivalence relationLocally compact spaceStone's representation theorem for Boolean algebrasQuotientfinitely additive measureMathematics

description

Abstract Quotient spaces of locally compact Stonian spaces which generalize in some sense the concept of Stone representation space of a Boolean algebra are investigated emphasizing the measure theoretical point of view, and a representation theorem for finitely additive measures is proved.

10.1006/aima.1996.0070http://dx.doi.org/10.1006/aima.1996.0070