A generalization of the Open Mapping Theorem and a possible generalization of the Baire Category Theorem

被引：1
作者：
Machowski, Antoni [1 ,2 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Stanislawa Lojasiewicza St 6, PL-30348 Krakow, Poland
[2] Salwatorska St 23-7, PL-30117 Krakow, Poland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2023年 / 335卷
关键词：
Baire Category Theorem; Lie group; Locally compact; Open Mapping Theorem; Sigma-compact; Topological group;
D O I：
10.1016/j.topol.2023.108594
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a generalization of the Open Mapping Theorem for locally compact & sigma;-compact groups in which we replace the assumption of the domain being & sigma;-compact with a weaker condition. We provide a characterisation of the cardinal number c and we suggest a possibility of generalizing the Baire Category Theorem. & COPY; 2023 Elsevier B.V. All rights reserved.
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页数：7
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