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Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability

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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… Click to show full 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: bounded menability; fibred coarse; uniformly bounded; bounded fibred; coarse embeddability

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2022

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