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.

引用

页码：46 / 50

页数：5

共 50 条

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