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Uniformly Continuous Partitions ofUnity on a Metric Space

Published online by Cambridge University Press:  20 November 2018

Stewart M. Robinson  and
Zachary Robinson
Stewart M. Robinson
Affiliation:
Cleveland State UniversityCleveland, Ohio MacGregor House, MIT, Cambridge, Mass
Zachary Robinson
Affiliation:
Cleveland State UniversityCleveland, Ohio MacGregor House, MIT, Cambridge, Mass
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Abstract

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In this paper, we construct, for any open cover of a metric space, a partition of unity consisting of a family of uniformly continuous functions.

Keywords

54E3554C3054D99metric spacesuniform continuitypartitions of unit
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 1 , 01 March 1983 , pp. 115 - 117
Copyright
Copyright © Canadian Mathematical Society 1983