Some Invariant Properties of Quasi-Möbius Maps

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...

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Autor principal:	Heer Loreno
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2017
Materias:	möbius structures doubling property quasi-möbius maps uniform disconnectedness Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/e1a6c4b30b504567870e225c26b04e8a
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id	oai:doaj.org-article:e1a6c4b30b504567870e225c26b04e8a
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spelling	oai:doaj.org-article:e1a6c4b30b504567870e225c26b04e8a2021-12-05T14:10:38ZSome Invariant Properties of Quasi-Möbius Maps2299-327410.1515/agms-2017-0004https://doaj.org/article/e1a6c4b30b504567870e225c26b04e8a2017-09-01T00:00:00Zhttps://doi.org/10.1515/agms-2017-0004https://doaj.org/toc/2299-3274We 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.Heer LorenoDe Gruyterarticlemöbius structuresdoubling propertyquasi-möbius mapsuniform disconnectednessAnalysisQA299.6-433ENAnalysis and Geometry in Metric Spaces, Vol 5, Iss 1, Pp 69-77 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	möbius structures doubling property quasi-möbius maps uniform disconnectedness Analysis QA299.6-433
spellingShingle	möbius structures doubling property quasi-möbius maps uniform disconnectedness Analysis QA299.6-433 Heer Loreno Some Invariant Properties of Quasi-Möbius Maps
description	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.
format	article
author	Heer Loreno
author_facet	Heer Loreno
author_sort	Heer Loreno
title	Some Invariant Properties of Quasi-Möbius Maps
title_short	Some Invariant Properties of Quasi-Möbius Maps
title_full	Some Invariant Properties of Quasi-Möbius Maps
title_fullStr	Some Invariant Properties of Quasi-Möbius Maps
title_full_unstemmed	Some Invariant Properties of Quasi-Möbius Maps
title_sort	some invariant properties of quasi-möbius maps
publisher	De Gruyter
publishDate	2017
url	https://doaj.org/article/e1a6c4b30b504567870e225c26b04e8a
work_keys_str_mv	AT heerloreno someinvariantpropertiesofquasimobiusmaps
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Some Invariant Properties of Quasi-Möbius Maps

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