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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access September 2, 2017

Some Invariant Properties of Quasi-Möbius Maps

Loreno Heer

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.

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Received: 2017-07-04
Accepted: 2017-08-03
Published Online: 2017-09-02

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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