# Some Invariant Properties of Quasi-Möbius Maps

Analysis and Geometry in Metric Spaces (2017)

- Volume: 5, Issue: 1, page 69-77
- ISSN: 2299-3274

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topLoreno Heer. "Some Invariant Properties of Quasi-Möbius Maps." Analysis and Geometry in Metric Spaces 5.1 (2017): 69-77. <http://eudml.org/doc/288424>.

@article{LorenoHeer2017,

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.},

author = {Loreno Heer},

journal = {Analysis and Geometry in Metric Spaces},

keywords = {Möbius structures; doubling property; quasi-Möbius maps; uniform disconnectedness},

language = {eng},

number = {1},

pages = {69-77},

title = {Some Invariant Properties of Quasi-Möbius Maps},

url = {http://eudml.org/doc/288424},

volume = {5},

year = {2017},

}

TY - JOUR

AU - Loreno Heer

TI - Some Invariant Properties of Quasi-Möbius Maps

JO - Analysis and Geometry in Metric Spaces

PY - 2017

VL - 5

IS - 1

SP - 69

EP - 77

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/288424

ER -