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On hereditarily indecomposable continua, Henderson compacta and a question of Yohe |
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| Authors: | Elzbieta Pol |
| Affiliation: | Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland |
| 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. |
| Keywords: | Hereditarily indecomposable continua Henderson compacta hereditarily strongly infinite-dimensional Cantor manifolds |
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