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http://hdl.handle.net/11375/8712
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DC Field | Value | Language |
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dc.contributor.advisor | Pelletier, D.H. | en_US |
dc.contributor.author | Carr, Marie Donna | en_US |
dc.date.accessioned | 2014-06-18T16:43:45Z | - |
dc.date.available | 2014-06-18T16:43:45Z | - |
dc.date.created | 2011-02-09 | en_US |
dc.date.issued | 1981 | en_US |
dc.identifier.other | opendissertations/3895 | en_US |
dc.identifier.other | 4912 | en_US |
dc.identifier.other | 1745010 | en_US |
dc.identifier.uri | http://hdl.handle.net/11375/8712 | - |
dc.description.abstract | <p>We first use some results of Menas to prove that every normal filter on PKλ extends the cub filter on PKλ thereby settling a basic question in the structure theory of filters on PKλ.</p> <p>Then we investigate ideal-theoretic and other aspects of ineffability properties of PKλ with particular emphasis on those which can be viewed as PKλ generalizations of weak compactness.</p> <p>In the course of these studies, we came to view mild λ-ineffability as a PKλ generalization of weak compactness in an ideal-theoretically weak sense, and sought a PKλ generalization of weak compactness in an ideal-theoretically stronger sense.</p> <p>To this end, we define the λ-Shelah property, a new ineffability property of PKλ between mild λ-ineffability and almost λ-ineffability, and prove results which support the contention that this is the property we sought.</p> <p>These results include characterizations of the λ-Shelah property in terms of a normal ideal on PKλ and if λ K.</p> | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Mathematics | en_US |
dc.title | Ineffability Properties of Pkλ | en_US |
dc.type | thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degree | Doctor of Philosophy (PhD) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.77 MB | Adobe PDF | View/Open |
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