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A gap 1 cardinal transfer theorem

✍ Scribed by Luis M. Villegas-Silva

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 176 KB
Volume: 52
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200510038

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✦ Synopsis

Abstract

We extend the gap 1 cardinal transfer theorem (κ ^+^, κ ) → (λ ^+^, λ ) to any language of cardinality ≤λ, where λ is a regular cardinal. This transfer theorem has been proved by Chang under GCH for countable languages and by Silver in some cases for bigger languages (also under GCH). We assume the existence of a coarse (λ, 1)‐morass instead of GCH. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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