Points of Openness of Some Mappings

被引：0

作者：

Hola, Lubica ^{[1
]}

Mirmostafaee, Alireza Kamel ^{[2
]}

机构：

[1] Acad Sci, Inst Math, Stefanikova 49, Bratislava 81473, Slovakia

[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Dept Pure Math, POB 1159, Mahhad 91775, Iran

来源：

FILOMAT | 2021年 / 35卷 / 15期

关键词：

Continuous function; open function; quasicontinuous function; closed function; developable space;

D O I：

10.2298/FIL2115209H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 off in X is a G(delta) subset of X. If X is developable and f is closed, then the set of points of openness of fin Y is a G(delta) subset of Y. These will extend some results of S. Levi.

引用

页码：5209 / 5214

页数：6

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