Almost continuity vs closure continuity
We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity?
We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity?
We introduce a new class of functions called almost -closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost -closed continuous surjections.
The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.
A topological space is said to be -Lindelöf [1] if every cover of by cozero sets of admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of -Lindelöf spaces.