The Computation of Ultrapowers by Supercompactness Measures

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.

Grantor dc:publisher

University of North Texas

Year dc:date

1999

Author dc:creator

• Smith, John C.

Contributors dc:contributor

• Jackson, Stephen C.
• Lewis, Paul
• Bator, Elizabeth M.

• Algebraic topology.
• Differentiable manifolds.
• algebraic topology
• differentiable manifolds
• hyperplanes
• ultrapowers

Statement dc:rights

• Public
• Copyright
• Smith, John C., III
• Copyright is held by the author, unless otherwise noted. All rights reserved.

Language dc:language

English

Identifier

oclc: 45155979
untcat: b2231786
https://digital.library.unt.edu/ark:/67531/metadc2201/
ark: ark:/67531/metadc2201

OAI identifier oai:identifier

info:ark/67531/metadc2201