J Austral Math Soc Ser A 47 pp256--262, 1989.

Joins of Topologies Homeomorphic to the Rationals

A. J. Jayanthan and V. Kannan

Abstract

Let Q be the space of all rational numbers and (X, t) br a topological space where X is countably infinite. Here we prove that (1) t is the join of two topologies on X both homeomorphic to Q if and only if t is non-compact and metrizable, and (2) t is the join of topologies on X each homeomorphic to Q if and only if t is Tychnoff and noncompact.

1980 AMS Subject Classification (1985 Revision): 54E35

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Authors

A. J. Jayanthan

V. Kannan

School of Mathematics & Computer/Information Sciences, University of Hyderabad, Hyderabad-500 134, India.