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The Covering Numbers of Mycielski Ideals Are All Equal

✍ Scribed by Saharon Shelah and Juris Steprāns


Book ID
124978696
Publisher
Association for Symbolic Logic
Year
2001
Tongue
English
Weight
282 KB
Volume
66
Category
Article
ISSN
0022-4812

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The covering number and the uniformity o
✍ Noboru Osuga 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB

## Abstract Let __f, g__ ∈ ^__ω__^ __ω__ . We will denote by __g__ ≫ __f__ that for every __k__ < __ω__, __f__ (__n__ ^__k__^ ) ≤ __g__ (__n__ ) except for finitely many __n__ . The ideal ℐ~__f__~ on ^__ω__^ 2 is the collection of sets __X__ such that, for some __g__ ≫ __f__ and __τ__ ∈ ∏~__n__ <_