The diagonal of a first countable paratopological group, submetrizability, and related results

被引：17

作者：

Arhangel'skii, A. V. ^{[1
]}

Bella, A. ^{[2
]}

机构：

[1] Ohio Univ, Dept Math, 321 Morton Hall, Athens, OH 45701 USA

[2] Citta Univ Catania, Dipartimento Matemat, I-95125 Catania, Italy

来源：

APPLIED GENERAL TOPOLOGY | 2007年 / 8卷 / 02期

关键词：

G(delta)-diagonal of rank n; semitopological and paratopological groups; Souslin number; submetrizability;

D O I：

10.4995/agt.2007.1881

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss some properties stronger than G(delta)-diagonal. Among other things, we prove that any first countable paratopological group has a G(delta)-diagonal of infinite rank and hence also a regular G(delta)-diagonal. This answer a question recently asked by Arhangel'skii and Burke.

引用

页码：207 / 212

页数：6

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