Abstract

We show that there exist rigid hereditarily indecomposable continua which are: (a)n-dimensional Cantor manifolds for every n∈N,(b)hereditarily strongly infinite-dimensional Cantor manifolds, or(c)countable-dimensional continua of every given transfinite dimension, small or large. Moreover, there exist continuum many topological types of rigid hereditarily indecomposable continua of every such kind.

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