Topology Proceedings Document # baal-19
topology proceedings
Topology Proceedings 26 No. 1 (2001-2002), pp. 247-254

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On arcwise accessibility in hyperspaces

Sergio Mac\iias

The purpose of this paper is to show that in the results of Section 4 of a paper by J. Grispolakis and E. Tymchatyn [Fund. Math. 110 (1980) 117-130], concerning arcwise accessibility of singletons from C2(X) \C(X) for a continuum X, we can replace C2(X) by Cn(X) for any n > 2. We also present more results about arcwise accessibility in these hyperspaces.

Keywords: Arc, arcwise accessibility, composant, continuum, hereditarily indecomposable continuum, hyperspace, indecomposable continuum, order arc
Mathematics Subject Classification: 54B20

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Topology Proceedings, Volume 26 No. 1 (2001-2002)
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Copyright © 2002 Auburn University and Topology Atlas | Date: November 1, 2002.