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 language | English |
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Journal | Mediterranean Journal of Mathematics |
DOIs | |
State | Published - 6 May 2022 |
Keywords
- Removability
- uniform metric space
- quasihyperbolic metric
- separation condition