On Alexandrov lattices

By an Alexandrov lattice we mean a δ normal lattice of subsets of an abstract set X, such that the set of ℒ-regular countably additive bounded measures is sequentially closed in the set of ℒ-regular finitely additive bounded measures on the algebra generated by ℒ with the weak topology.

Bibliographic Details
Main Author: Albert Gorelishvili
Format: Article
Language:English
Published: Hindawi Limited 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171293000055