Relative Quasisymmetry and Quasimöbius Mappings in Quasi-metric Spaces

Acta Mathematica Sinica, English Series（2022）

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摘要

The aim of this paper is to investigate the relationship between relative quasisymmetry and quasimöbius in quasi-metric spaces, and show that a homeomorphism f is η -quasisymmetric relative to A if and only if it is θ -quasimöbius relative to A between two both bounded quasi-metric spaces, where A ⊆ X and X is a quasi-metric space.

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关键词

Quasisymmetric mapping,quasimöbius mapping,three-point condition,quasi-metric space

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