Finitely continuous functions

被引：0
|
作者：
Ostrovsky, Alexey [1 ]
机构：
[1] SUAI, St Petersburg, Russia
来源：
TOPOLOGY AND ITS APPLICATIONS | 2019年 / 261卷
关键词：
Finitely continuous; Locally closed; Borel measurable; Baire class 1; Countably continuous;
D O I：
10.1016/j.topol.2019.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A function f is LC-continuous if the inverse image of any open set is a locally closed set, i.e., an intersection of an open set and a closed set. It is well known that each LC-continuous function f is countably continuous. We prove that f is finitely continuous. (C) 2019 Elsevier B.V. All rights reserved.
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页码：46 / 50
页数：5
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