Glasnik matematički, Vol. 37 No. 2, 2002.
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
Publication date:
1.12.2002.
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