Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T22:05:22.279Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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