Uniform type structures

Uniform type structures

In a non-empty set a filter on consisting of reflexive relations, which satisfies: ∀ χ ε Χ ∀ Q, ∃ P ε Q such that P ° P [χ] ⊂ Q [χ] is called local quasi-uniformity. If we require the symmetry condition then we obtain a local uniformity. These concepts were introduced by Fletcher-Lindegren(1974) and Williams(1972) respectively. We will discuss the possibility of extending the known results about (quasi)-uniform spaces to local (quasi)-uniform spaces.

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Main Authors: Abreu,Teresa, Corbacho,Eusébio
Format: Digital revista
Language:English
Published: Instituto Politécnico do Cávado e do Ave 2005
Online Access:http://scielo.pt/scielo.php?script=sci_arttext&pid=S1645-99112005000200010
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spelling oai:scielo:S1645-991120050002000102011-08-29Uniform type structuresAbreu,TeresaCorbacho,Eusébio quasi-uniformity local quasi-uniformity local quasi-uniform space quasi-uniform space uniform space In a non-empty set a filter on consisting of reflexive relations, which satisfies: ∀ χ ε Χ ∀ Q, ∃ P ε Q such that P ° P [χ] ⊂ Q [χ] is called local quasi-uniformity. If we require the symmetry condition then we obtain a local uniformity. These concepts were introduced by Fletcher-Lindegren(1974) and Williams(1972) respectively. We will discuss the possibility of extending the known results about (quasi)-uniform spaces to local (quasi)-uniform spaces.info:eu-repo/semantics/openAccessInstituto Politécnico do Cávado e do AveTékhne - Revista de Estudos Politécnicos n.4 20052005-12-01info:eu-repo/semantics/articletext/htmlhttp://scielo.pt/scielo.php?script=sci_arttext&pid=S1645-99112005000200010en
institution SCIELO
collection OJS
country Portugal
countrycode PT
component Revista
access En linea
databasecode rev-scielo-pt
tag revista
region Europa del Sur
libraryname SciELO
language English
format Digital
author Abreu,Teresa
Corbacho,Eusébio
spellingShingle Abreu,Teresa
Corbacho,Eusébio
Uniform type structures
author_facet Abreu,Teresa
Corbacho,Eusébio
author_sort Abreu,Teresa
title Uniform type structures
title_short Uniform type structures
title_full Uniform type structures
title_fullStr Uniform type structures
title_full_unstemmed Uniform type structures
title_sort uniform type structures
description In a non-empty set a filter on consisting of reflexive relations, which satisfies: ∀ χ ε Χ ∀ Q, ∃ P ε Q such that P ° P [χ] ⊂ Q [χ] is called local quasi-uniformity. If we require the symmetry condition then we obtain a local uniformity. These concepts were introduced by Fletcher-Lindegren(1974) and Williams(1972) respectively. We will discuss the possibility of extending the known results about (quasi)-uniform spaces to local (quasi)-uniform spaces.
publisher Instituto Politécnico do Cávado e do Ave
publishDate 2005
url http://scielo.pt/scielo.php?script=sci_arttext&pid=S1645-99112005000200010
work_keys_str_mv AT abreuteresa uniformtypestructures
AT corbachoeusebio uniformtypestructures
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