Quasi-metric and metric spaces

By V. Schroeder. 2006

95 citations recorded by the source corpus.

We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space. By an example we illustrate the limits of the construction.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a0bd7e07612fb25bd73577395019baac56cc8180

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. P. Auscher
2. Tuomas Hytönen
3. Andrei K. Lerner
4. Dachun Yang
5. D. Cruz-Uribe
6. Michael T. Lacey
7. S. Hofmann
8. A. Mcintosh

In Astronomy and Astrophysics

1. P. Auscher
2. Tuomas Hytönen
3. Dachun Yang
4. Dongyong Yang

In Geometry and Topology

1. P. Auscher
2. Tuomas Hytönen

Citations in the corpus

• Orthonormal bases of regular wavelets in spaces of homogeneous type (2011, methodology): “The starting point of their theory is the existence of a new Hölder-continuous quasi-metric adapted to the measure μ and topologically (but not geometrically) equivalent to the original d, which is provided by work of Macias–Segovia [25, Theorems 2 and 3] (for more precise versions of the Macias-Seg”