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arXiv · 2405.19555

Lattices of slowly oscillating functions

Yutaka Iwamoto
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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. 2024-05-29. Lattices of slowly oscillating functions. https://arxiv.org/abs/2405.19555

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