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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Universidad Católica del Norte, Departamento de Matemáticas
2009
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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 |
_version_ |
1718439764268417024 |