Vol. 22, No. 1, 1967

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ISSN: 0030-8730
On products of maximally resolvable spaces

Jack Gary Ceder and Terrance Laverne Pearson

Vol. 22 (1967), No. 1, 31–45
Abstract

A maximally resolvable space is one which can be decomposed into the largest number of “maximally dense” subsets. Answering a previously posed question, we show that an arbitrary product of maximally resolvable spaces is again maximally resolvable, not only with respect to the ordinary product topology, but with respect to other natural topologies as well.

Mathematical Subject Classification
Primary: 54.20
Milestones
Received: 28 September 1966
Published: 1 July 1967
Authors
Jack Gary Ceder
Terrance Laverne Pearson