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arXiv · 2405.06438

Building weight-free F{\o}lner sets for Yu's Property A in coarse geometry

Graham Niblo·Nick Wright·Jiawen Zhang
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Abstract

In this note we study the natural question of when the generalised F{\o}lner sets exhibiting property A can be chosen to be subsets of the space itself. We show that for many property A spaces $X$, this is indeed possible. Specifically this holds: for all discrete bounded geometry metric spaces which coarsely have all components unbounded; for all countable discrete groups; and for all box spaces.

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Graham Niblo, Nick Wright, Jiawen Zhang. 2024-05-10. Building weight-free F{\o}lner sets for Yu's Property A in coarse geometry. https://doi.org/10.2140/agt.2025.25.3133

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