weakly regularly monocompact (measure)

Definition

• Let (X,S,m) be a measure space. Then m is said to be weakly regularly monocompact, if there exist a monocompact family which is coinitial with S-N_m where N_m denote the ideal of m-null sets.

Remark

• See regularly monocompact (measure) for definition of monocompactness of a family of sets.

Reference

• D. H. Fremlin, Weakly α-favourable measure spaces, Fundamenta Mathematicae 165 (2000) http://matwbn.icm.edu.pl/ksiazki/fm/fm165/fm16515.pdf