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http://hdl.handle.net/11375/8712
Title: | Ineffability Properties of Pkλ |
Authors: | Carr, Marie Donna |
Advisor: | Pelletier, D.H. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | 1981 |
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> |
URI: | http://hdl.handle.net/11375/8712 |
Identifier: | opendissertations/3895 4912 1745010 |
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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