Decomposition complexity with respect to coarse properties
Metric Geometry
2017-09-05 v3 Geometric Topology
Abstract
We formalize the concept of a family of metric spaces satisfying a coarse property uniformly and we generalize finite decomposition complexity of Erik Guentner, Romain Tessera, and Guoliang Yu. Of particular interest are results determining sufficient conditions for a metric space to satisfy Property A of Guoliang Yu.
Keywords
Cite
@article{arxiv.1611.00265,
title = {Decomposition complexity with respect to coarse properties},
author = {Jerzy Dydak},
journal= {arXiv preprint arXiv:1611.00265},
year = {2017}
}
Comments
17 pages. Added an example of coarse property that is not regular