Existence of quasi-arcs

We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2008-11, Vol.136 (11), p.3975-3981
Main Author: Mackay, John M.
Format: Article
Language:English
Subjects:
College mathematics
Exact sciences and technology
General mathematics
General topology
General, history and biography
Geometry
Mathematical theorems
Mathematics
Metric spaces
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary:We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-08-09444-6