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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1997; 34(2): 309-319

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

$R^i$-sets and contractibility

Bong Sin Baik, Kul Hur, and Choon Jai Rhee

Woo-Suk University, Won-Kwang University and Wayne State University

Abstract

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We introduce $R^i$-sets and give various relations between $R^i$-sets and prove that the hyperspace of a metric continuum containing any one of the $R^i$-sets also contains $R^i$-set and hence is not contractible.

Keywords: hyperspace, $R^i$-continuum, $R^i$-set, contractibility

MSC numbers: 54B20

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