Minimal Sequential Spaces
by
Bhamini Nayar
Morgan State University
Coauthors: James Joseph

All hypothesized spaces are Hausdorff topological spaces. A sequential space (X, T) is called minimal sequential if no sequential topology on X is strictly weaker than T. In this paper we study minimal sequential spaces. Characterizations of minimal sequential spaces are obtained using filterbases, sequences, and functions satisfying certain graph conditions. Relationships between this class of spaces and other classes of spaces, e.g. minimal Hausdorff spaces, countably compact spaces, H-closed spaces, SQ-closed spaces, and subspaces of minimal sequential spaces are investigated. While the property of being minimal sequential is not (in general) preserved by products, we study the product of such spaces.

Date received: February 3, 1998

Copyright © 1998 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 # caas-20.