Abstract
We prove that every modular function on a multilattice L with values in a topological Abelian group generates a uniformity on L which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of L.
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Avallone, A. Modular functions on multilattices. Czechoslovak Mathematical Journal 52, 499–512 (2002). https://doi.org/10.1023/A:1021715427024
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DOI: https://doi.org/10.1023/A:1021715427024