On the Ma\'{c}kowiak-Tymchatyn theorem
General Topology
2024-08-27 v1
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.
Keywords
Cite
@article{arxiv.math/0110292,
title = {On the Ma\'{c}kowiak-Tymchatyn theorem},
author = {K. P. Hart and B. J. van der Steeg},
journal= {arXiv preprint arXiv:math/0110292},
year = {2024}
}
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16 pages