Gδ-Blumberg spaces

Abstract

A topological space X is called a G?-Blumberg space If for every real-valued function f on X , there exists a dense G?-set D in X such that the restriction of f to D is continuous. In this paper, the behaviour of this space under taking subspaces and superspaces, images and preimages are studied, and a G?-Blumberg space which is a generalization of an almost P-space is characterized. Some unsolved problems are posed.