Removability of Uniform Metric Spaces

TY - JOUR

T1 - Removability of Uniform Metric Spaces

AU - Li, Yaxiang

AU - Rasila, Antti

AU - Zhou, Qingshan

PY - 2022/5/6

Y1 - 2022/5/6

N2 - 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.

AB - 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.

KW - Removability

KW - uniform metric space

KW - quasihyperbolic metric

KW - separation condition

U2 - 10.1007/s00009-022-02055-w

DO - 10.1007/s00009-022-02055-w

M3 - 文章

SN - 1660-5446

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

ER -