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A consistency result concerning hereditarily α-Lindelöf spaces

✍ Scribed by A. Hajnal; I. Juhász


Book ID
105413986
Publisher
Akadmiai Kiad
Year
1973
Tongue
English
Weight
313 KB
Volume
24
Category
Article
ISSN
1588-2632

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A consistency result on cardinal sequenc
✍ Juan C. Martínez 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

We prove that if GCH holds and τ = κα : α < η is a sequence of infinite cardinals such that κα ≥ |η| for each α < η, then there is a cardinal-preserving partial order that forces the existence of a scattered Boolean space whose cardinal sequence is τ .