Some Invariant Properties of Quasi-Möbius Maps

• Autorzy: Loreno Heer
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Möbius structures; doubling property; quasi-Möbius maps; uniform disconnectedness

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 69-77

Daty

wydano

2017-08-28

otrzymano

2017-07-04

zaakceptowano

2017-08-03

online

2017-09-02

Twórcy

autor

Loreno Heer

• ,

Identyfikatory

DOI

10.1515/agms-2017-0004