Borel asymptotic dimension of the Roller boundary of finite dimensional CAT(0) cube complexes

2025/05/15 by Oyakawa, Koichi · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2505.10334

Abstract

We prove that for any countable finite dimensional CAT(0) cube complex, the Borel median graph on its Roller compactification has the Borel asymptotic dimension bounded from above by its dimension.

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