Original scientific paper

Smoothness in n-hold hyperspaces

Sergio Macias
Sam B. Nadler Jr.

Abstract

We prove that *-smoothness of a homogeneous continuum implies its indecomposability. We define the analogue of *-smoothness for n-fold hyperspaces and investigate its relation to *-smoothness. We characterize the class of hereditarily indecomposable continua in terms of n*-smoothness.

Keywords

Continuum; Cn*-smoothness; decomposable continuum; hereditarily indecomposable continuum; homogeneous continuum; irreducible continuum; indecomposable continuum; n-fold hyperspace; order arc; unicoherent continuum

Hrčak ID:

4804

URI

https://hrcak.srce.hr/4804

Publication date:

1.12.2002.

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