Extending Baire-one functions on topological spaces

被引：24
|
作者：
Kalenda, OFK [1 ]
Spurny, J [1 ]
机构：
[1] Charles Univ, Fac Math & Phys, Dept Math Anal, Prague 18675 8, Czech Republic
来源：
TOPOLOGY AND ITS APPLICATIONS | 2005年 / 149卷 / 1-3期
关键词：
Baire-one function; Lindelof space; hereditarily Baire space; extension; Michael space; compact convex set;
D O I：
10.1016/j.topol.2004.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the possibility of extension of Baire-one functions from subspaces of topological spaces. In particular we prove that any Baire-one function on a Lindelof hereditarily Baire completely regular space can be extended to a Baire-one function on any completely regular superspace. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：195 / 216
页数：22
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