International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 737-746
doi:10.1155/S0161171296001020
Some counterexamples and properties on generalizations of Lindelöf spaces
Filippo Cammaroto1
and Grazia Santoro2
1Dipartimento di Matematica, Universita' di Catania, Viale A Doria, 6, Catania 95100, Italy
2Dipartimento di Matematica, Universita' di Messina, Salita Sperone, n 31, Sant' Agata, Messina 98166, Italy
Abstract
In this paper we give some significative counterexamples to prove that some well known generalizations of Lindelöf property are proper. Also we give some new results, we introduce and study the almost regular-Lindelof spaces as a generalization of the almost-Lindelöf spaces and as a new and significative application of the quasi-regular open subsets of [1].