Document Type

Article

Department

Mathematics (HMC)

Publication Date

1993

Abstract

Let L be either [0, 1] or {0, 1} with the usual order. We study topologies on a set X for which the cozero-sets of certain subfamilies H of Lx form a base, and the properties imposed on such topologies by hypothesizing various order-theoretic conditions on H. We thereby obtain useful generalizations of extremely disconnected spaces, basically disconnected spaces, and F-spaces. In particular we use these tools to study the space of minimal prime ideals of certain commutative rings.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,428.

Published by the Houston Journal of Mathematics, of the University of Houston.

This article is also available at http://www.math.uh.edu/~hjm/vol19-4.html.

Rights Information

© 1993 Houston Journal of Mathematics

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