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.
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页数：13
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