Modular functions on multilattices

Author: Avallone A.¹

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 499-512(14)

Publisher: Springer

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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.

Keywords: multilattices; modular functions

Language: English

Document Type: Research article

Affiliations: 1: Dipartimento di Matematica, Universita' della Basilicata, via Nazario Sauro, 85, 85100 Potenza (Italy), Avallone@unibas.it

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