On Lindelöf lattices and separation

George M. Eid

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-5

Abstract:

Let X be an abstract set and ℒ a lattice of subsets of X . Some general properties of Lindelöf, regular as well as normal lattices are investigated for their measure implications and their relationship to separation properties. Moreover, we show that the generalized Wallman replete space and the generalized Wallman prime complete space are Lindelöf spaces if and only if certain measure relationships hold on ℒ .

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:527374

DOI: 10.1155/S0161171291000819

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