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The First Turkish International Conference on Topology and its Applications
August 2-5, 2000
Istanbul University
Istanbul, Turkey

Organizers
Nurettin Ergun, Mahir Hasanov, Turgut Önder, Cem Tezer, Murat Tuncali, Stephen Watson

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Generalizations and factorizations of normality
by
Ananga Kumar Das
Department of Mathematics, University of Delhi, Delhi-110007, India
Coauthors: J. K. Kohli (Department of Mathematics, Hindu college, University of Delhi, Delhi-110007, India)

Generalizations of normality, called (weakly) (functionally) \theta-normal spaces, are introduced and studied. This leads to factorizations of normality. It turns out that every paracompact space is \theta-normal. Moreover, every Lindelof space as well as every almost compact space is weakly \theta-normal. Preservation of \theta-normality and its variants under mappings is studied. This in turn yields/strengthens several known results pertaining to normality.

Date received: June 23, 2000

Copyright © 2000 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 # caeh-39.