On Lindelöf lattices and separation
Let be an abstract set and a lattice of subsets of . 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 .
Copyright © 1991 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.