Property A and uniform embeddability of metric spaces under decompositions of finite depth

Abstract

Property A and uniform embeddability are notions of metric geometry which imply the coarse Baum-Connes conjecture and the Novikov conjecture. In this paper, the authors prove the permanence properties of property A and uniform embeddability of metric spaces under large scale decompositions of finite depth.

Keywords

Metric space / Uniform embedding / Property A / Large scale decomposition / Permanence property

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