International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 41, Pages 2609-2617
doi:10.1155/S0161171203204233
α-fuzzy compactness in I-topological spaces
Valentín Gregori1
and Hans-Peter A. Künzi2
1Escuela Politécnica Superior de Gandía, Carretera Nazaret-Oliva s/n, Grao de Gandía 46730, Spain
2Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa
Abstract
Using a gradation of openness in a (Chang fuzzy) I-topological space, we introduce degrees of compactness that we call α-fuzzy compactness (where α belongs to the unit interval), so extending the concept of compactness due to C. L. Chang. We obtain a Baire category theorem for α-locally compact spaces and construct a one-point α-fuzzy compactification of an I-topological space.