Some topologies on the set of lattice regular measures

Some topologies on the set of lattice regular measures

We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additive) measures on 𝒜(ℒ).

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Bibliographic Details
Main Author: Panagiotis D. Stratigos
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
lattice; δ and normal lattice; separating and disjunctive lattice; lattice semiseparation
measure; regularity
σ-smoothness
τ-smoothness
and tightness of a measure; tight set of measures
lim sup- topology; weak topology; Wallman topology; relative compactness
repleteness
measure repleteness
and strongly measure repleteness.
Online Access:http://dx.doi.org/10.1155/S0161171292000905
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http://dx.doi.org/10.1155/S0161171292000905

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