α-fuzzy compactness inI-topological spaces

摘要

Using a gradation of openness in a (Chang fuzzy)I-topological space, we introduce degrees of compactness that we callα-fuzzy compactness (whereαbelongs to the unit interval), so extending the concept of compactness due to C. L. Chang. We obtain a Baire category theorem forα-locally compact spaces and construct a one-pointα-fuzzy compactification of anI-topological space.