Fat subsets of P kappa (lambda)
dc.contributor.author | Zaigralin, Ivan | en_US |
dc.date.accessioned | 2016-01-27T15:07:06Z | |
dc.date.available | 2016-01-27T15:07:06Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | https://hdl.handle.net/2144/14099 | |
dc.description.abstract | For 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.iso | en_US | |
dc.subject | Theoretical mathematics | en_US |
dc.title | Fat subsets of P kappa (lambda) | en_US |
dc.type | Thesis/Dissertation | en_US |
dc.date.updated | 2016-01-22T18:53:46Z | |
etd.degree.name | Doctor of Philosophy | en_US |
etd.degree.level | doctoral | en_US |
etd.degree.discipline | Mathematics & Statistics | en_US |
etd.degree.grantor | Boston University | en_US |
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