Geodesic
Modular functions on multilattices
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 499-512 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $L$.
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 $L$.
Classification : 06B99, 28B10
Keywords: multilattices; modular functions 
@article{CMJ_2002_52_3_a4,
     author = {Avallone, Anna},
     title = {Modular functions on multilattices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {499--512},
     year = {2002},
     volume = {52},
     number = {3},
     mrnumber = {1923256},
     zbl = {1011.28008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002_52_3_a4/}
}
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Avallone, Anna. Modular functions on multilattices. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 3, pp. 499-512. http://geodesic.mathdoc.fr/item/CMJ_2002_52_3_a4/