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The sup metric on infinite products

Published online by Cambridge University Press:  17 April 2009

Carlos R. Borges
Carlos R. Borges
Affiliation:
Department of Mathematics, University of California, Davis Davis CA 95616, United States of America
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Abstract

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We study the properties of the sup metric on infinite products Z = X.(If d is a bounded metric on X then ρ, defined by ρ((xα), (yα)) = , is the sup metric on Z.) In particular, we prove that if X is an AR(metric) or a topological group then so is Z.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 461 - 466
Copyright
Copyright © Australian Mathematical Society 1991

References

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