Open AccessPoints of openness of some mappings
Author(s) -
Ľubica Holá,
Alireza Kamel Mirmostafaee
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2115209h
Subject(s) - openness to experience , mathematics , set (abstract data type) , function (biology) , closed set , combinatorics , discrete mathematics , social psychology , computer science , psychology , evolutionary biology , biology , programming language
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 G? subset of X. If X is developable and f is closed, then the set of points of openness of f in Y is a G? subset of Y. These will extend some results of S. Levi.