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On the Ma\'{c}kowiak-Tymchatyn theorem

K. P. Hart·B. J. van der Steeg
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Abstract

In this paper we give new proofs of the theorem of Ma\'{c}kowiak 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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BibTeXRIS

K. P. Hart, B. J. van der Steeg. 2001-10-26. On the Ma\'{c}kowiak-Tymchatyn theorem. https://arxiv.org/abs/math/0110292

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