Points of openness of some mappings | Zendy

L̕ubica Holá | Zendy; Alireza Kamel Mirmostafaee | Zendy

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Points of openness of some mappings

Author(s) -

L̕ubica 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.

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