A general measure decomposition theorem by means of the generalized wallman remainder

Journal of the Australian Mathematical Society

George Bachman¹ 

[1] Panagiotis D. Stratigos

关键词: 28 A 60;    28 A 32;   

DOI  :  10.1017/S144678870002735X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let ℒ be a lattice of subsets of a set X. Let MR (ℒ) denote the set of all ℒ-regular (finitely additive) measures on the algebra generated by ℒ. Under the assumption that ℒ is disjunctive, in the first part of the paper, criteria are obtained for the σ-smoothness, τ-smoothness, and tightness of elements of MR(ℒ) in terms of the general Wallman remander. in the second part of the paper, various applications are given, and, in particular, extensions and refinements of the Yoside-Hewitt Decom position Theorem are obtained.

【 授权许可】

Unknown