Modular functions on multilattices

Anna Avallone

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 3, page 499-512
  • ISSN: 0011-4642

Abstract

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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 .

How to cite

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Avallone, Anna. "Modular functions on multilattices." Czechoslovak Mathematical Journal 52.3 (2002): 499-512. <http://eudml.org/doc/30719>.

@article{Avallone2002,
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 $L$.},
author = {Avallone, Anna},
journal = {Czechoslovak Mathematical Journal},
keywords = {multilattices; modular functions; multilattices; modular functions},
language = {eng},
number = {3},
pages = {499-512},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Modular functions on multilattices},
url = {http://eudml.org/doc/30719},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Avallone, Anna
TI - Modular functions on multilattices
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 3
SP - 499
EP - 512
AB - 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 $L$.
LA - eng
KW - multilattices; modular functions; multilattices; modular functions
UR - http://eudml.org/doc/30719
ER -

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