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Research Article

ON THE EXISTENCE OF PARTITIONS OF UNITY FOR PROXIMITY SPACES

S
Sangita Srivastava Department of Mathematics Harish Chandra P.G. College, Varanasi, U.P., India
Volume 6, Issue 1 Pages 85-88 December 12, 2007 222 downloads
Article overview

Abstract

In the present paper it has been shown that if (X, δ) is a separated proximity space with a finite open covering u, then there exists a partition of unity dominated by u.

Keywords and Phrases

Proximity spacsfinite coveringpartition of unityUrysohn lemmashrinking lemma.

AMS Subject Classification

54A05, 54E05.

Reference information

How to Cite

Sangita Srivastava (2007). ON THE EXISTENCE OF PARTITIONS OF UNITY FOR PROXIMITY SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 6(1), 85-88.
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