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

All Science Journal Classification (ASJC) codes

Geometry and Topology

Access to Document

10.1016/j.topol.2011.04.003

Cite this

@article{3cb8418304b841a19e8f8f21fec398a6,

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.",

year = "2011",

month = jul,

day = "1",

doi = "10.1016/j.topol.2011.04.003",

language = "الإنجليزيّة",

volume = "158",

pages = "1239--1248",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

number = "11",

}

TY - JOUR

T1 - On productively Lindelöf spaces

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 - http://www.scopus.com/inward/record.url?scp=79957703883&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2011.04.003

DO - 10.1016/j.topol.2011.04.003

M3 - مقالة

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this