Loreno Heer | Swiss Federal Institute of Technology (ETH) (original) (raw)

Papers by Loreno Heer

arXiv (Cornell University), Mar 24, 2016

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric 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.

arXiv (Cornell University), Mar 24, 2016

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric 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 spaces. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)Möbius spaces as well.

arXiv (Cornell University), Mar 24, 2016

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric 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 spaces. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)Möbius spaces as well.

Analysis and Geometry in Metric Spaces, 2017

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasime... more 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.

We investigate properties which remain invariant under the action of quasi-M\"obius maps of ... more We investigate properties which remain invariant under the action of quasi-M\"obius maps of quasi-metric 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-)M\"obius spaces. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)M\"obius spaces as well.

arXiv: Metric Geometry, 2016

A metric space is called doubling with constant DDD if every ball of finite radius can be covered... more A metric space is called doubling with constant DDD if every ball of finite radius can be covered by at most DDD balls of half the radius. It is shown that the doubling property is an invariant property for (quasi-)M\"obius spaces.

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric spaces. A metric space is called doubling with constant D if every ball of nite 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.

arXiv (Cornell University), Mar 24, 2016

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric 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.

arXiv (Cornell University), Mar 24, 2016

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric 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 spaces. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)Möbius spaces as well.

arXiv (Cornell University), Mar 24, 2016

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric 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 spaces. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)Möbius spaces as well.

Analysis and Geometry in Metric Spaces, 2017

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasime... more 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.

We investigate properties which remain invariant under the action of quasi-M\"obius maps of ... more We investigate properties which remain invariant under the action of quasi-M\"obius maps of quasi-metric 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-)M\"obius spaces. Additionally it is shown that the property of uniform disconnectedness is an invariant for (quasi-)M\"obius spaces as well.

arXiv: Metric Geometry, 2016

A metric space is called doubling with constant DDD if every ball of finite radius can be covered... more A metric space is called doubling with constant DDD if every ball of finite radius can be covered by at most DDD balls of half the radius. It is shown that the doubling property is an invariant property for (quasi-)M\"obius spaces.

We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-m... more We investigate properties which remain invariant under the action of quasi-Möbius maps of quasi-metric spaces. A metric space is called doubling with constant D if every ball of nite 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.