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math.MGAug 1, 2007
18
citations (OpenAlex)
authors
  • John M. Mackay
institutions
  • University of Michigan
  • Yale University
arXiv abstractPDF
paper

Existence of quasi-arcs

arXiv:0708.0824 · doi:10.1090/S0002-9939-08-09444-6

Abstract

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

7 pages; minor changes

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  • Prime ends in metric spaces and boundary extensions of mappings
  • Quasi-circles through prescribed points
  • Discrete length-volume inequalities and lower volume bounds in metric spaces
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