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dc.contributor.authorZaigralin, Ivanen_US
dc.date.accessioned2016-01-27T15:07:06Z
dc.date.available2016-01-27T15:07:06Z
dc.date.issued2013
dc.identifier.urihttps://hdl.handle.net/2144/14099
dc.description.abstractFor a subset of a cardinal greater than ω1, fatness is strictly stronger than stationarity and strictly weaker than being closed unbounded. For many regular cardinals, being fat is a sufficient condition for having a closed unbounded subset in some generic extension. In this work we characterize fatness for subsets of Pκ(λ). We prove that for many regular cardinals κ and λ, a fat subset of Pκ(λ) obtains a closed unbounded subset in a cardinal-preserving generic extension. Additionally, we work out the conflict produced by two different definitions of fat subset of a cardinal, and introduce a novel (not model-theoretic) proof technique for adding a closed unbounded subset to a fat subset of a cardinal.en_US
dc.language.isoen_US
dc.subjectTheoretical mathematicsen_US
dc.titleFat subsets of P kappa (lambda)en_US
dc.typeThesis/Dissertationen_US
dc.date.updated2016-01-22T18:53:46Z
etd.degree.nameDoctor of Philosophyen_US
etd.degree.leveldoctoralen_US
etd.degree.disciplineMathematics & Statisticsen_US
etd.degree.grantorBoston Universityen_US


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