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Derived models and supercompact measures on
Authors:Nam Trang
Institution:Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, United States of America
Abstract:The main result of this paper is Theorem 1.1 , which shows that it is possible for derived models to satisfy urn:x-wiley:09425616:media:malq201300061:malq201300061-math-0003“ω1 is urn:x-wiley:09425616:media:malq201300061:malq201300061-math-0004‐supercompact”. Other constructions of models of this theory are also discussed; in particular, Theorem 4.1 constructs a normal fine measure on urn:x-wiley:09425616:media:malq201300061:malq201300061-math-0005 and hence a model of urn:x-wiley:09425616:media:malq201300061:malq201300061-math-0006“Θ is regular”+“ω1 is urn:x-wiley:09425616:media:malq201300061:malq201300061-math-0007‐supercompact” from a model of urn:x-wiley:09425616:media:malq201300061:malq201300061-math-0008“Θ is measurable”.
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