Uniformly Continuous Partitions of
    Unity on a Metric Space

Stewart M. Robinson; Zachary Robinson

doi:10.4153/CMB-1983-017-x

Uniformly Continuous Partitions ofUnity on a Metric Space

Published online by Cambridge University Press: 20 November 2018

Stewart M. Robinson and

Zachary Robinson

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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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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

54E35 54C30 54D99 metric spaces uniform continuity partitions of unit

Type: Research Article
Information: Canadian Mathematical Bulletin , Volume 26 , Issue 1 , 01 March 1983 , pp. 115 - 117

DOI: https://doi.org/10.4153/CMB-1983-017-x [Opens in a new window]

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Uniformly Continuous Partitions ofUnity on a Metric Space

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