Topology Proceedings
Document # baal-19

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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Date: November 1, 2002.