A new class of spaces with all finite powers Lindelöf

Natasha May; Santi Spadaro; Paul Szeptycki

doi:10.1016/j.topol.2014.04.004

A new class of spaces with all finite powers Lindelöf

Natasha May, Santi Spadaro, Paul Szeptycki

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

1 Scopus citations

Abstract

We consider a new class of open covers and classes of spaces defined from them, called ι-spaces ("iota spaces"). We explore their relationship with ε-spaces (that is, spaces having all finite powers Lindelöf) and countable network weight. An example of a hereditarily ε-space whose square is not hereditarily Lindelöf is provided answering a question from [11].

Original language	English
Pages (from-to)	104-118
Number of pages	15
Journal	Topology and its Applications
Volume	170
DOIs	https://doi.org/10.1016/j.topol.2014.04.004
State	Published - 15 Jun 2014
Externally published	Yes

Keywords

Countable network weight
D-spaces
L-spaces
Lindelöf spaces
Primary
Secondary

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2014.04.004

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abstract = "We consider a new class of open covers and classes of spaces defined from them, called ι-spaces ({"}iota spaces{"}). We explore their relationship with ε-spaces (that is, spaces having all finite powers Lindel{\"o}f) and countable network weight. An example of a hereditarily ε-space whose square is not hereditarily Lindel{\"o}f is provided answering a question from [11].",

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AB - We consider a new class of open covers and classes of spaces defined from them, called ι-spaces ("iota spaces"). We explore their relationship with ε-spaces (that is, spaces having all finite powers Lindelöf) and countable network weight. An example of a hereditarily ε-space whose square is not hereditarily Lindelöf is provided answering a question from [11].

KW - Countable network weight

KW - D-spaces

KW - L-spaces

KW - Lindelöf spaces

KW - Primary

KW - Secondary

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ER -

A new class of spaces with all finite powers Lindelöf

Abstract

Keywords

ASJC Scopus subject areas

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