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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