On hereditarily indecomposable continua, Henderson compacta and a question of Yohe

Pol, Elżbieta

doi:10.1090/S0002-9939-02-06378-5

On hereditarily indecomposable continua, Henderson compacta and a question of Yohe
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Proc. Amer. Math. Soc. 130 (2002), 2789-2795 Request permission

Abstract:

We answer a question of Yohe by showing that there exists a family of continuum many topologically different hereditarily indecomposable Cantor manifolds without any non-trivial weakly infinite-dimensional subcontinua. This family may consist either of compacta containing one-dimensional subsets or of compacta containing no weakly infinite-dimensional subsets of positive dimension.

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