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

Published 15 May 2025 in math.GT, math.GR, and math.LO | (2505.10334v1)

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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Authors (1)

  1. Koichi Oyakawa 

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