On the Maćkowiak-Tymchatyn theorem

K. P. Hart; B. J. van der Steeg

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arXiv · math/0110292

On the Maćkowiak-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 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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BibTeX RIS

K. P. Hart, B. J. van der Steeg. 2001-10-26. On the Maćkowiak-Tymchatyn theorem. https://arxiv.org/abs/math/0110292

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