On λ-closure spaces

In this paper, we show that a pointwise λ -symmetric λ -isotonic λ -closure function is uniquely determined by the pairs of sets it separates. We then show that when the λ -closure function of the domain is λ -isotonic and the λ -closure function of the codomain is λ -isotonic and pointwise- λ -symm...

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Detalles Bibliográficos
Autores: Caldas, Miguel, Ekici, Erdal, Jafari, Saeid
Tipo de recurso: artículo
Fecha de publicación:2006
País:Perú
Institución:Pontificia Universidad Católica del Perú
Repositorio:PUCP-Institucional
Idioma:español
OAI Identifier:oai:repositorio.pucp.edu.pe:20.500.14657/95936
Acceso en línea:http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10242/10687
Access Level:acceso abierto
Palabra clave:Pointwise Λ -closed Sets
Λ -closure Function
Λ -continuous Functions
https://purl.org/pe-repo/ocde/ford#1.01.00
Descripción
Sumario:In this paper, we show that a pointwise λ -symmetric λ -isotonic λ -closure function is uniquely determined by the pairs of sets it separates. We then show that when the λ -closure function of the domain is λ -isotonic and the λ -closure function of the codomain is λ -isotonic and pointwise- λ -symmetric, functions which separate only those pairs of sets which are already separated are λ -continuous.