Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 513, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2022.126221
Keywords
a-T-menable groups; Fibred coarse embedding; Uniformly bounded actions
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This paper introduces the concept of uniformly bounded fibred coarse embeddability of metric spaces, shows its relationship with uniformly bounded a-T-menability of groups, and illustrates the differences between uniformly bounded fibred coarse embeddability and fibred coarse embeddability with examples.
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.
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