International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 737-746
Some counterexamples and properties on generalizations of Lindelöf spaces
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
Received 19 June 1992; Revised 27 September 1995
Copyright © 1996 Filippo Cammaroto and Grazia Santoro. 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.
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 .