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The sup metric on infinite products
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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