Journal article
Regular finite decomposition complexity
Abstract
We introduce the notion of regular finite decomposition complexity of a metric family. This generalizes Gromov’s finite asymptotic dimension and is motivated by the concept of finite decomposition complexity (FDC) due to Guentner, Tessera and Yu. Regular finite decomposition complexity implies FDC and has all the permanence properties that are known for FDC, as well as a new one called Finite Quotient Permanence. We show that for a collection …
Authors
Kasprowski D; Nicas A; Rosenthal D
Journal
Journal of Topology and Analysis, Vol. 11, No. 03, pp. 691–719
Publisher
World Scientific Publishing
Publication Date
September 2019
DOI
10.1142/s1793525319500286
ISSN
1793-5253