Some Invariant Properties of Quasi-Möbius Maps

Loreno Heer

Analysis and Geometry in Metric Spaces (2017)

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

Abstract

top
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.

How to cite

top

Loreno 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.