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ArticleOriginal scientific text

Title

A characterization of dendroids by the n-connectedness of the Whitney levels

Authors 1

Affiliations

  1. Instituto de Matemáticas, Area de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, C.P. 04510 México, D.F., México

Abstract

Let X be a continuum. Let C(X) denote the hyperspace of all subcontinua of X. In this paper we prove that the following assertions are equivalent: (a) X is a dendroid, (b) each positive Whitney level in C(X) is 2-connected, and (c) each positive Whitney level in C(X) is ∞-connected (n-connected for each n ≥ 0).

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm140/fm14024.pdf

Fundamenta Mathematicae
1991-1992/140/2
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Pages:
157-174
Main language of publication
English
Received
1990-09-18
Accepted
1991-06-28
Published
1992
Exact and natural sciences