Lattices of slowly oscillating functions

Published 29 May 2024 in math.GN | (2405.19555v4)

Abstract: We show that lattice isomorphisms between lattices of slowly oscillating functions on chain-connected proper metric spaces induce coarsely equivalent homeomorphisms. This result leads to a Banach-Stone-like theorem for these lattices. Furthermore, we provide a representation theorem that characterizes linear lattice isomorphisms among these lattices.

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Yutaka Iwamoto

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Coarse equivalence from homeomorphic Higson coronas under positive asymptotic dimension

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