A new class of spaces with all finite powers Lindelof

被引：1

作者：

May, Natasha ^{[1
]}

Spadaro, Santi ^{[2
]}

Szeptycki, Paul ^{[1
]}

机构：

[1] York Univ, Fac Sci & Engn, Dept Math, Toronto, ON M3J 1P3, Canada

[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

来源：

TOPOLOGY AND ITS APPLICATIONS | 2014年 / 170卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Countable network weight; D-spaces; L-spaces; Lindelof spaces; COMPACT;

D O I：

10.1016/j.topol.2014.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a new class of open covers and classes of spaces defined from them, called iota-spaces ("iota spaces"). We explore their relationship with epsilon-spaces (that is, spaces having all finite powers Lindelof) and countable network weight. An example of a hereditarily epsilon-space whose square is not hereditarily Lindelof is provided answering a question from [11]. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：104 / 118

页数：15