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On a question of Andreas Weiermann

✍ Scribed by Henryk Kotlarski; Konrad Zdanowski

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
170 KB
Volume
55
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We prove that for each β, γ < ε~0~ there exists__α__ < ε~0~ such that whenever A ⊆ ω is α ‐large and G: A → β is such that (∀a ∈ A)(psn(G (a)) ≤ a), then there exists a γ ‐large C ⊆ A on which G is nondecreasing. Moreover, we give upper bounds for α for small ordinals β ≤ ω (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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