Some Invariant Properties of Quasi-Möbius Maps-Reference-Cited by-同舟云学术

Some Invariant Properties of Quasi-Möbius Maps

Published:2017-08-28 Issue:1 Volume:5 Page:69-77
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Heer Loreno¹

Affiliation:

1. Institut für Mathematik, Universität Zürich,Winterthurerstrasse 190, CH-8057 Zürich , Switzerland

Abstract

Abstract We investigate properties which remain invariant under the action of quasi-Möbius maps of quasimetric spaces. A metric space is called doubling with constant D if every ball of finite radius can be covered by at most D balls of half the radius. It is shown that the doubling property is an invariant property for (quasi-)Möbius maps. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)Möbius maps as well.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/agms-2017-0004/pdf

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