Topological spaces satisfying a closed graph theorem

被引：0
作者：
Noll, Dominikus [1 ]
机构：
[1] Univ Toulouse, Inst Math, 118 Route Narbonne, F-31062 Toulouse, France
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 349卷
关键词：
Closed graph theorem; Open mapping theorem; Michael game; Hereditary Baire space; Banach-Mazur game; Tandem game; BAIRE CATEGORY;
D O I：
10.1016/j.topol.2024.108903
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss topological versions of the closed graph theorem, where continuity is inferred from near continuity in tandem with suitable conditions on source or target spaces. We seek internal characterizations of spaces satisfying a closed graph theorem, and we compare closed graph and open mapping spaces. (c) 2024 Elsevier B.V. All rights reserved.
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页数：21
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