NON-PRODUCTIVELY LINDELOF SPACES AND SMALL CARDINALS

被引：0

作者：

Alas, Ofelia T. ^{[1
]}

Aurichi, Leandro F. ^{[2
]}

Junqueira, Lucia R. ^{[1
]}

Tall, Franklin D. ^{[3
]}

机构：

[1] Univ Sao Paulo, IME, BR-05508090 Sao Paulo, Brazil

[2] Univ Sao Paulo, ICMC, BR-13566590 Sao Carlos, SP, Brazil

[3] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2011年 / 37卷 / 04期

基金：

巴西圣保罗研究基金会; 加拿大自然科学与工程研究理事会;

关键词：

Lindelof spaces; product; COMBINATORICS; HUREWICZ; MENGER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A space is productively Lindelof if its product with any Lindelof space is Lindelof. In this paper we concentrate on finding conditions for a Lindelof space to not be productively Lindelof, using small cardinals.

引用

页码：1373 / 1381

页数：9

共 26 条

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[2] The productively Lindelof property in the remainders of topological spaces
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[3] INTERNAL CHARACTERIZATIONS OF PRODUCTIVELY LINDELOF SPACES
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[5] Indestructibly productively Lindelof and Menger function spaces
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[6] Productively Lindelof Spices May All Be D
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[7] Lindelof spaces which are indestructible, productive, or D
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[8] ON κ-LINDELOF SPACES
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[9] Lindelof spaces which are Menger, Hurewicz, Alster, productive, or D
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[10] Some remarks on metric spaces whose product with every Lindelof space is Lindelof
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