Two results for monocompact measures |
| |
Authors: | Monika Dekiert |
| |
Institution: | 1. Fachbereich 6 - Mathematik und Informatik, Universit?t Gesamthochschule Essen, W-4300 Essen 1, Germany
|
| |
Abstract: | For every finite measure space (Ω,A, P) whereA is K1-generated we prove the equivalence of compactness and monocompactness for P . Moreover, we prove the existence of a perfect, not monocompaot probability, thus answering an open question in 6]. Let P be a charge on the algebraA andK ?A be a monocompact class. We show that P is o-additive ifK S P-approximatesK S, the family of finite unions inK , needs not to be monocompact. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|