Zig-zag chains and metric equivalences between ultrametric spaces |
| |
Authors: | Álvaro Martínez-Pérez |
| |
Institution: | Departamento de Geometría y Topología, Universidad Complutense de Madrid, Madrid 28040, Spain |
| |
Abstract: | We study the classification of ultrametric spaces based on their small scale geometry (uniform homeomorphism), large scale geometry (coarse equivalence) and both (bi-uniform equivalences). Using a combinatoric approach we consider every ultrametric space as the end space of a chain and prove that all these equivalences can be characterized by the existence of a common zig-zag chain. |
| |
Keywords: | primary 18B30 37F20 secondary 54E35 |
本文献已被 ScienceDirect 等数据库收录! |