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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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
De Gruyter
2017
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/e1a6c4b30b504567870e225c26b04e8a |
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| Sumario: | 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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