Metric spaces with subexponential asymptotic dimension growth
Narutaka Ozawa
TL;DR
This paper proves that metric spaces exhibiting subexponential growth in their asymptotic dimension possess Yu's property A, linking geometric growth conditions to a key property in coarse geometry.
Contribution
It establishes a new connection between subexponential asymptotic dimension growth and Yu's property A in metric spaces.
Findings
Subexponential asymptotic dimension growth implies Yu's property A.
Provides a new criterion for property A based on asymptotic dimension growth.
Enhances understanding of the geometric conditions leading to property A.
Abstract
We prove that a metric space with subexponential asymptotic dimension growth has Yu's property A.
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Taxonomy
TopicsAdvanced Banach Space Theory · Fixed Point Theorems Analysis · Advanced Topology and Set Theory