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http://hdl.handle.net/11154/2370
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Title: | The hyperspaces C(p,X) for atriodic continua |
Authors: | Pellicer-Covarrubias, P |
Issue Date: | 2005 |
Abstract: | Let C(X) denote the hyperspace of subcontinua of a continuum X. For A is an element of C(X), define the hyperspace C(A, X) = {B is an element of C(X) : A subset of B}. We prove that nondegenerate Whitney levels of C(p, X) are arcs when X is an atriodic continuum and p is an element of X. The main result is a characterization of the hyperspaces C(p, X) for atriodic continua. Moreover, as a consequence of the characterization, we obtain that a continuum X is atriodic if and only if C(A, X) is planar for all A is an element of C(X) |
URI: | http://hdl.handle.net/11154/2370 |
ISSN: | 0362-1588 |
Appears in Collections: | Matemáticas
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