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Characterizing strong compactness via strongness

✍ Scribed by Arthur W. Apter

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 176 KB
Volume: 49
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200310040

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✦ Synopsis

Abstract

We construct a model in which the strongly compact cardinals can be non‐trivially characterized via the statement “κ is strongly compact iff κ is a measurable limit of strong cardinals”. If our ground model contains large enough cardinals, there will be supercompact cardinals in the universe containing this characterization of the strongly compact cardinals.

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