On the Maćkowiak-Tymchatyn theorem

Details On the Maćkowiak-Tymchatyn theorem On the Maćkowiak-Tymchatyn theorem

2001-10-26

arxiv.org/abs/math/0110292v1

Mathematics

General Topology

16 pages

Scientific paper

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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