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 -
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