PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP

For a GL-monoid L provided with an uniform structure, we build an LF-topology on the cartesian product of a family of LF-topological spaces. We also show that the product of an arbitrary family of Kolmogoroff (Hausdorff) LF-topological spaces is again a Kolmogoroff (Hausdorff) LF-topological space.

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Autores principales: Ochoa C,Carlos Orlando, Luna - Torres,Joaquín
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2009
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200007
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spelling oai:scielo:S0716-091720090002000072014-08-12PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOPOchoa C,Carlos OrlandoLuna - Torres,Joaquín Topological spaces Uniform Spaces GL-monoids LF-topological spaces Cartesian product Kolmogoroff Space Hausdorff Space For a GL-monoid L provided with an uniform structure, we build an LF-topology on the cartesian product of a family of LF-topological spaces. We also show that the product of an arbitrary family of Kolmogoroff (Hausdorff) LF-topological spaces is again a Kolmogoroff (Hausdorff) LF-topological space.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.2 20092009-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200007en10.4067/S0716-09172009000200007
institution Scielo Chile
collection Scielo Chile
language English
topic Topological spaces
Uniform Spaces
GL-monoids
LF-topological spaces
Cartesian product
Kolmogoroff Space
Hausdorff Space
spellingShingle Topological spaces
Uniform Spaces
GL-monoids
LF-topological spaces
Cartesian product
Kolmogoroff Space
Hausdorff Space
Ochoa C,Carlos Orlando
Luna - Torres,Joaquín
PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP
description For a GL-monoid L provided with an uniform structure, we build an LF-topology on the cartesian product of a family of LF-topological spaces. We also show that the product of an arbitrary family of Kolmogoroff (Hausdorff) LF-topological spaces is again a Kolmogoroff (Hausdorff) LF-topological space.
author Ochoa C,Carlos Orlando
Luna - Torres,Joaquín
author_facet Ochoa C,Carlos Orlando
Luna - Torres,Joaquín
author_sort Ochoa C,Carlos Orlando
title PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP
title_short PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP
title_full PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP
title_fullStr PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP
title_full_unstemmed PRODUCTS OF LF-TOPOLOGIES AND SEPARATION IN LF-TOP
title_sort products of lf-topologies and separation in lf-top
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2009
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200007
work_keys_str_mv AT ochoaccarlosorlando productsoflftopologiesandseparationinlftop
AT lunatorresjoaquin productsoflftopologiesandseparationinlftop
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