Topology Atlas Document # vaaa-90

The existence of compatible nontransitive totally bounded quasi-uniformities

by

J. Gerlits, H.-P. A. Künzi, A. Losonczi and Z. Szentmiklóssy

Topology Atlas Preprint # 432


It is proved that each infinite completely regular Hausdorff space admits a nontransitive totally bounded quasi-uniformity.

Mathematics Subject Classification: 54E15 , 54A25
Keywords: totally bounded, transitive, compatible, quasi-uniformity, discrete subspace

Date received: June 14, 2000.


Copyright © 2000 by J. Gerlits, H.-P. A. Künzi, A. Losonczi and Z. Szentmiklóssy. The authors have granted their consent to include this document in Topology Atlas.