Removability of Uniform Metric Spaces

Yaxiang Li, Antti Rasila, Qingshan Zhou

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we investigate the removability of uniform metric spaces. Our main result was the following: let X be a rectifiably connected, locally compact, noncomplete and locally annular quasiconvex metric space, and let P be a countable subset of X which satisfies a quasihyperbolic separation condition. Then the space X is uniform if and only if \(X{\setminus } P\) is uniform, quantitatively.
Original languageEnglish
JournalMediterranean Journal of Mathematics
DOIs
StatePublished - 6 May 2022

Keywords

  • Removability
  • uniform metric space
  • quasihyperbolic metric
  • separation condition

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