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On Some Isocompactness Properties
by
H.H. Wicke
Ohio University
Some new isocompactness properties involving filters of zero-sets or of closed sets are defined. These properties are related to the properties pure and astral of A.V. Arhangel\'skii described in Dokl.Akad.Nauk SSSR 251 (1980) (translated in Soviet Math.Dokl. 21 (1980) 550-554). These relationships are explored in this paper. Two of the concepts studied have the property of being arbitrarily productive. Mapping theorems and relations to earlier-studied isocompactuess properties such as those of the author and J.M. Worrell are also examined.
Date received: April 12, 1996
Copyright © 1996 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 # caaf-93.