Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability
Functional Analysis
2021-07-22 v1 Group Theory
Metric Geometry
Abstract
In this paper, we introduce the concept of uniformly bounded fibred coarse embeddability of metric spaces, generalizing the notion of fibred coarse embeddability defined by X. Chen, Q. Wang and G. Yu. Moreover, we show its relationship with uniformly bounded a-T-menability of groups. Finally, we give some examples to illustrate the differences between uniformly bounded fibred coarse embeddability and fibred coarse embeddability.
Keywords
Cite
@article{arxiv.2107.10114,
title = {Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability},
author = {Jianguo Zhang and Dapeng Zhou},
journal= {arXiv preprint arXiv:2107.10114},
year = {2021}
}