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Aposyndetic Properties of the Hyperspaces Cn(X).
by
Sergio Macías
National University of Mexico
A continuum is compact, connected, and metric space. A continuum X is said to be finitely aposyndetic provided that for each finite subset F of X and each point x in X\F there exists a subcontinuum W of X such that x in Int(W) subset W subset X\F. Given a continuum X and a positive integer n, we define Cn(X)={A subset X | A is closed and has at most n components}. We topologize Cn(X) with the Hausdorff metric. We will present some of the basic properties of Cn(X) and we will show that it is finitely aposyndetic
Date received: February 3, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caca-23.