## Topological properties of generalized Wallman spaces and lattice relations.(English)Zbl 0864.28005

Let $$X$$ be an abstract set and $$L$$ a lattice of subsets of $$X$$. Generalized Wallman spaces associated with the pair $$(X,L)$$ are studied and relations between the properties of these spaces and $$L$$ are investigated.

### MSC:

 28C15 Set functions and measures on topological spaces (regularity of measures, etc.) 28A12 Contents, measures, outer measures, capacities 54D60 Realcompactness and realcompactification 28A60 Measures on Boolean rings, measure algebras 06B30 Topological lattices
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