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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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A note on Lindelof space
by
Chandra Mohan Pareek
Department of Mathematics and Computer Science, Kuwait University, Kuwait

Recently, Arhangelskii and others have studied Lindelof spaces and its generalizations.They have raised many questions. In this paper we introduce spaces in which every open cover has a subcover which is a countable union of minimal collections.It is easy to see that Lindelof space has this property. We prove that every space with that property is linear Lindelof. Finally, we prove that for perfect spaces, a space is linearly Lindelof if and only if every open cover has a subcover which is a countable union of minimal collections.

Date received: March 19, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagw-03.