Hereditarily Lindelöf spaces of singular density

István Juhász; Saharon Shelah

doi:10.1556/SScMath.2007.1037

Hereditarily Lindelöf spaces of singular density

István Juhász^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

A cardinal λ is called ω-inaccessible if for all μ < λ we have μ^ω < λ. We show that for every ω-inaccessible cardinal λ there is a CCC (hence cardinality and cofinality preserving) forcing that adds a hereditarily Lindelöf regular space of density λ. This extends an analogous earlier result of ours that only worked for regular λ.

Original language	English
Pages (from-to)	557-562
Number of pages	6
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	45
Issue number	4
DOIs	https://doi.org/10.1556/SScMath.2007.1037
State	Published - Dec 2008

Keywords

Density of a space
Forcing
Hereditarily Lindelöf space
Singular cardinal

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10.1556/SScMath.2007.1037

Cite this

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KW - Singular cardinal

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Hereditarily Lindelöf spaces of singular density

Abstract

Keywords

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