OUTER MEASURES AND ASSOCIATED LATTICE PROPERTIES

PETER M. GRASSl

《International Journal of Mathematics and Mathematical Sciences》 1993卷 (1993/12) Pp. 687-694

https://doi.org/10.1155/S0161171293000869

摘要

Zero-one measure characterizations of lattice properties such as normality are extended to more general measures. For a given measure, we consider two associated ＂outer＂ measures and attempt to obtain the ＂outer＂-measurable sets. We also seek necessary and sufficient conditions for the measure and outer measures to be equal on the lattice or its complement.

關鍵字

Measure ； lattice ； outer-measure ； measurable ； normal ； regular ； almost countably compact ； separates ； semiseparates ； support