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.

引用

下载

页数：7

共 50 条

[21] A GENERALIZATION OF A THEOREM OF VOGTMANN
CHARNEY, R
JOURNAL OF PURE AND APPLIED ALGEBRA, 1987, 44 (1-3) : 107 - 125
[22] ON A GENERALIZATION OF LINDEMANS THEOREM
SHIDLOVS.A
DOKLADY AKADEMII NAUK SSSR, 1961, 138 (06): : 1301 - &
[23] A GENERALIZATION OF MEYERS THEOREM
REINER, I
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (11) : 1111 - 1112
[24] GENERALIZATION OF SINGERS THEOREM
HALE, MP
JUNGNICKEL, D
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 71 (02) : 280 - 284
[25] A generalization of a theorem of Bochner
Ismail, MEH
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 159 (02) : 319 - 324
[26] A GENERALIZATION OF CARATHEODORYS THEOREM
BARANY, I
DISCRETE MATHEMATICS, 1982, 40 (2-3) : 141 - 152
[27] GENERALIZATION OF GREENS THEOREM
GOLDBERG, JN
NEWMAN, ET
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (02) : 369 - &
[28] GENERALIZATION OF A THEOREM OF KUSMIN
DAJANI, K
KRAAIKAMP, C
MONATSHEFTE FUR MATHEMATIK, 1994, 118 (1-2): : 55 - 73
[29] GENERALIZATION OF A THEOREM OF JACOBSON
MONTGOMERY, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 28 (02) : 366 - +
[30] GENERALIZATION OF A THEOREM OF POINCARE
KRA, I
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 27 (02) : 299 - &

← 1 2 3 4 5 →