{"id":{"repo_id":"unt","oai_identifier":"info:ark/67531/metadc2201"},"canonical_url":"https://search.dev.ndltd.org/etd/unt/info:ark/67531/metadc2201","repository":{"repo_id":"unt","name":"University of North Texas","base_url":"https://digital.library.unt.edu/oai/"},"display":{"title":"The Computation of Ultrapowers by Supercompactness Measures","abstract":"The results from this dissertation are a computation of ultrapowers by supercompactness measures and concepts related to such measures. The second chapter gives an overview of the basic ideas required to carry out the computations. Included are preliminary ideas connected to measures, and the supercompactness measures. Order type results are also considered in this chapter. In chapter III we give an alternate characterization of 2 using the notion of iterated ordinal measures. Basic facts related to this characterization are also considered here. The remaining chapters are devoted to finding bounds fwith arguments taking place both inside and outside the ultrapowers. Conditions related to the upper bound are given in chapter VI.","abstract_html":"The results from this dissertation are a computation of ultrapowers by supercompactness measures and concepts related to such measures. The second chapter gives an overview of the basic ideas required to carry out the computations. Included are preliminary ideas connected to measures, and the supercompactness measures. Order type results are also considered in this chapter. In chapter III we give an alternate characterization of 2 using the notion of iterated ordinal measures. Basic facts related to this characterization are also considered here. The remaining chapters are devoted to finding bounds fwith arguments taking place both inside and outside the ultrapowers. Conditions related to the upper bound are given in chapter VI.","abstract_has_math":false,"creators":["Smith, John C."],"institution":"University of North Texas","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Jackson, Stephen C.","Lewis, Paul","Bator, Elizabeth M."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1999,"date_issued":"1999-08","date_published":"1999-08","updated_at":"2026-07-24T05:34:52Z","subjects":["Algebraic topology.","Differentiable manifolds.","algebraic topology","differentiable manifolds","hyperplanes","ultrapowers"],"languages":["English"],"rights":["Public","Copyright","Smith, John C., III","Copyright is held by the author, unless otherwise noted. 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In chapter III we give an alternate characterization of 2 using the notion of iterated ordinal measures. Basic facts related to this characterization are also considered here. The remaining chapters are devoted to finding bounds fwith arguments taking place both inside and outside the ultrapowers. Conditions related to the upper bound are given in chapter VI."],"dc:format":["Text"],"dc:identifier":["oclc: 45155979","untcat: b2231786","doi: 10.12794/metadc2201","https://digital.library.unt.edu/ark:/67531/metadc2201/","ark: ark:/67531/metadc2201"],"dc:language":["English"],"dc:publisher":["University of North Texas"],"dc:rights":["Public","Copyright","Smith, John C., III","Copyright is held by the author, unless otherwise noted. 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