How large can a hereditarily separable or hereditarily Lindelöf space be?

I. Juhász*, S. Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The main result of this paper is that if V satisfies GCH and ω 1<λ<μ are arbitrary regular cardinals, then in some cardinal preserving forcing extension W of V we have λ=λ=2 N 0, μ=2 λ and there are a hereditarily separable X ⊂2 λ with |X|= {Mathematical expression}=μ and a hereditarily Lindelöf Y ⊂2 μ with w(Y)= {Mathematical expression}=μ. So far similar results have only been obtained under the assumption of CH.

Original languageEnglish
Pages (from-to)355-364
Number of pages10
JournalIsrael Journal of Mathematics
Volume53
Issue number3
DOIs
StatePublished - Dec 1986

Fingerprint

Dive into the research topics of 'How large can a hereditarily separable or hereditarily Lindelöf space be?'. Together they form a unique fingerprint.

Cite this