On productively Lindelöf spaces

Franklin D. Tall; Boaz Tsaban

doi:10.1016/j.topol.2011.04.003

On productively Lindelöf spaces

Franklin D. Tall
, Boaz Tsaban

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

The class of spaces such that their product with every Lindelöf space is Lindelöf is not well-understood. We prove a number of new results concerning such productively Lindelöf spaces with some extra property, mainly assuming the Continuum Hypothesis.

Original language	English
Pages (from-to)	1239-1248
Number of pages	10
Journal	Topology and its Applications
Volume	158
Issue number	11
DOIs	https://doi.org/10.1016/j.topol.2011.04.003
State	Published - 1 Jul 2011

Keywords

Alster
Analytic
Countably closed forcing
Elementary submodel
Hurewicz
Menger
Powerfully Lindelöf
Primary
Productively Lindelöf
Secondary
Sequential

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2011.04.003

Cite this

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title = "On productively Lindel{\"o}f spaces",

abstract = "The class of spaces such that their product with every Lindel{\"o}f space is Lindel{\"o}f is not well-understood. We prove a number of new results concerning such productively Lindel{\"o}f spaces with some extra property, mainly assuming the Continuum Hypothesis.",

keywords = "Alster, Analytic, Countably closed forcing, Elementary submodel, Hurewicz, Menger, Powerfully Lindel{\"o}f, Primary, Productively Lindel{\"o}f, Secondary, Sequential",

author = "Tall, \{Franklin D.\} and Boaz Tsaban",

note = "Funding Information: E-mail addresses: [email protected] (F.D. Tall), [email protected] (B. Tsaban). 1 The research of the first named author is partially supported by grant A-7354 of the Natural Sciences and Engineering Research Council of Canada.",

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AU - Tall, Franklin D.

AU - Tsaban, Boaz

N1 - Funding Information: E-mail addresses: [email protected] (F.D. Tall), [email protected] (B. Tsaban). 1 The research of the first named author is partially supported by grant A-7354 of the Natural Sciences and Engineering Research Council of Canada.

PY - 2011/7/1

Y1 - 2011/7/1

N2 - The class of spaces such that their product with every Lindelöf space is Lindelöf is not well-understood. We prove a number of new results concerning such productively Lindelöf spaces with some extra property, mainly assuming the Continuum Hypothesis.

AB - The class of spaces such that their product with every Lindelöf space is Lindelöf is not well-understood. We prove a number of new results concerning such productively Lindelöf spaces with some extra property, mainly assuming the Continuum Hypothesis.

KW - Alster

KW - Analytic

KW - Countably closed forcing

KW - Elementary submodel

KW - Hurewicz

KW - Menger

KW - Powerfully Lindelöf

KW - Primary

KW - Productively Lindelöf

KW - Secondary

KW - Sequential

UR - https://www.scopus.com/pages/publications/79957703883

U2 - 10.1016/j.topol.2011.04.003

DO - 10.1016/j.topol.2011.04.003

M3 - Article

SN - 0166-8641

VL - 158

SP - 1239

EP - 1248

JO - Topology and its Applications

JF - Topology and its Applications

IS - 11

ER -

On productively Lindelöf spaces

Abstract

Keywords

ASJC Scopus subject areas

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