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Bibliographic Details
Main Authors: Hart, K. P., van der Steeg, B. J.
Format: Preprint
Published: 2001
Subjects:
Online Access:https://arxiv.org/abs/math/0110292
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author Hart, K. P.
van der Steeg, B. J.
author_facet Hart, K. P.
van der Steeg, B. J.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_math_0110292
institution arXiv
publishDate 2001
record_format arxiv
spellingShingle On the Maćkowiak-Tymchatyn theorem
Hart, K. P.
van der Steeg, B. J.
General Topology
54F15
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.
title On the Maćkowiak-Tymchatyn theorem
topic General Topology
54F15
url https://arxiv.org/abs/math/0110292