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

Elżbieta Pol
2002 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-02-06378-5 fatcat:5s2hcjdq4jac5kdosllhi7mg7y