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Uniformities and uniformly continuous functions on locally connected groups

Published online by Cambridge University Press:  17 April 2009

Michael Megrelishvili (Levy) ,
Peter Nickolas  and
Vladimir Pestov
Michael Megrelishvili (Levy)
Affiliation:
Department of Mathematics and Computer ScienceBar-Ilan University52900 Ramat-GanIsrael e-mail: [email protected]
Peter Nickolas
Affiliation:
Department of MathematicsUniversity of WollongongWollongong NSW 2522Australia e-mail: [email protected]
Vladimir Pestov
Affiliation:
Department of MathematicsVictoria University of WellingtonPO Box 600WellingtonNew Zealand e-mail: [email protected]
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Abstract

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We show that the left and the right uniformities on a locally connected topological group G coincide if and only if every left uniformly continuous real-valued function on G is right uniformly continuous.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 279 - 283
Copyright
Copyright © Australian Mathematical Society 1997

References

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