Filomat, ( ISI ), Volume (35), No (15), Year (2021-1) , Pages (5209-5214)

Title : ( Points of openness of some mappings )

Authors: Lubica Hola , Seyyed Alireza Kamel Mirmostafaee ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

. Let X and Y be topological spaces and f : X → Y be a continuous function. We are interested in finding points of X and Y at which f is open. We will show that if X is developable, the set of points of openness of f in X is a Gδ subset of X. If X is developable and f is closed, then the set of points of openness of f in Y is a Gδ subset of Y. These will extend some results of S. Levi.

Keywords

, Continuous function, open function, quasi-continuous function, closed function, developable space