Title : ( Points of openness of some mappings )
Authors: Lubica Hola , Seyyed Alireza Kamel Mirmostafaee ,
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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
@article{paperid:1089211,
author = {Lubica Hola and Kamel Mirmostafaee, Seyyed Alireza},
title = {Points of openness of some mappings},
journal = {Filomat},
year = {2021},
volume = {35},
number = {15},
month = {January},
issn = {0354-5180},
pages = {5209--5214},
numpages = {5},
keywords = {Continuous function; open function; quasi-continuous function; closed function; developable space},
}
%0 Journal Article
%T Points of openness of some mappings
%A Lubica Hola
%A Kamel Mirmostafaee, Seyyed Alireza
%J Filomat
%@ 0354-5180
%D 2021
