On productively Lindelof spaces

被引：17

作者：

Tall, Franklin D. ^{[1
]}

Tsaban, Boaz ^{[2
]}

机构：

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

[2] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Productively Lindelof; Powerfully Lindelof; Elementary submodel; Countably closed forcing; Sequential; Alster; Menger; Hurewicz; Analytic;

D O I：

10.1016/j.topol.2011.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The class of spaces such that their product with every Lindelof space is Lindelof is not well-understood. We prove a number of new results concerning such productively Lindelof spaces with some extra property, mainly assuming the Continuum Hypothesis. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1239 / 1248

页数：10

共 34 条

[1]

Alas O., HOUSTON J M IN PRESS

[2] THE PRODUCT OF A LINDELOF SPACE WITH THE SPACE OF IRRATIONALS UNDER MARTINS-AXIOM [J].

ALSTER, K .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (02) :543-547

[3] ON THE CLASS OF ALL SPACES OF WEIGHT NOT GREATER THAN OMEGA-1 WHOSE CARTESIAN PRODUCT WITH EVERY LINDELOF SPACE IS LINDELOF [J].

ALSTER, K .

FUNDAMENTA MATHEMATICAE, 1988, 129 (02) :133-140

[4]

[Anonymous], DISCOVERING MODERN S

[5]

[Anonymous], 1965, T MOSCOW MATH SOC

[6]

[Anonymous], 1986, Soviet Mathematics Doklady

[7]

[Anonymous], TOPOLOGY AP IN PRESS

[8]

Arhangel'skii A.V., 1963, DOKL AKAD NAUK SSSR, P751

[9] Projective σ-compactness, ω1-caliber, and Cp-spaces [J].

Arhangel'skii, AV .

TOPOLOGY AND ITS APPLICATIONS, 2000, 104 (1-3) :13-26

[10]

Aurichi LF, 2010, TOPOL P, V36, P107

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