J Austral Math Soc Ser A 53 pp327--337, 1992.

Strongly Zero-Dimensional Bispaces

Hans-Peter A. Künzi

(Received 5 May 1990)

Abstract

Let C_b be the admissable functorial quasi-uniformity on the completely regular bispaves which is spanned by the upper quasi-uniformity on the real line. Answering a question posed by B. Banaschewski and G. C. L. Brümmer in the affirmative we show that C_b is transitive for every strongly zero-dimensional bispace X.

1991 AMS Subject Classification: 54E15, 54E55, 18B30, 54F45

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Authors

Hans-Peter A. Künzi: University of Berne, Sidlerstrasse 5, 3012 Berne, Switzerland.

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Last Modified: Mon Feb 3 9:46:11 2003