On the Maćkowiak-Tymchatyn theorem
K. P. Hart, B. J. van der Steeg
Abstract
In this paper we give new proofs of the theorem of Maćkowiak and Tymchatyn that every metric continuum is a weakly-confluent image of some one-dimensional hereditarily indecomposable continuum of countable weight. The first is a model-theoretic argument; the second is a topological proof inspired by the first.
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