Author/Authors :
Rodrguez-Lopez, J Instituto Universitario de Matematica Pura y Aplicada - Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain , Romaguera, S Instituto Universitario de Matematica Pura y Aplicada - Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain , Sanchis, M Institut Universitari de Matematiques i Aplicacions de Castello (IMAC) - Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castello, Spain
Abstract :
In [25], Katsaras introduced a method for constructing a Hutton [0, 1]-quasi-uniformity from a crisp uniformity. In this
paper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure.
Furthermore, we prove that some of these methods preserve the completeness property of the quasi-uniformity. Moreover,
we also show that Katsaras’ construction allows to develop a theory of completion of a Hutton [0,1]-quasi-uniform
space obtained from a uniform space.
Keywords :
completeness , Hutton [0, 1]-quasi-uniformity , fuzzy uniform structure , Uniformity
