Cardinal invariants in the quotient spaces of weakly topological groups

被引：6

作者：

Zhang, Jing ^{[1
]}

Liu, Limin ^{[1
]}

Li, Jinjin ^{[1
]}

机构：

[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China

来源：

TOPOLOGY AND ITS APPLICATIONS | 2022年 / 314卷

关键词：

Topological gyrogroups; Quasitopological groups; Quotient spaces; Cardinal functions; Neutral strong subgyrogroups; GYROGROUPS;

D O I：

10.1016/j.topol.2022.108097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we show that if H is a closed neutral subgroup of a quasitopological group G, then ib(l)(G/H) <= e(G/H) and if H is a closed subgroup of a quasitopological group G, then ib(r)(G/H) <= e(G/H). We also proved that if H is a closed neutral strong subgyrogroup of a strongly topological gyrogroup (G, tau, circle plus), then: ib(G/H) <= e(G/H); ib(l)(GIH) <= c(G/H); w(G/H) = ib(G/H) . chi(G/H); w(G/H) = nw(G/H) . x(G/H); ib(G/H) <= wl(G/H). These results generalize the corresponding results in [17]. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：13

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