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  Partner: UNT Libraries
 Department: Department of Mathematics
 Decade: 1990-1999
 Collection: UNT Theses and Dissertations
The Computation of Ultrapowers by Supercompactness Measures

The Computation of Ultrapowers by Supercompactness Measures

Date: August 1999
Creator: Smith, John C.
Description: 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.
Contributing Partner: UNT Libraries
On the Cohomology of the Complement of a Toral Arrangement

On the Cohomology of the Complement of a Toral Arrangement

Date: August 1999
Creator: Sawyer, Cameron Cunningham
Description: The dissertation uses a number of mathematical formula including de Rham cohomology with complex coefficients to state and prove extension of Brieskorn's Lemma theorem.
Contributing Partner: UNT Libraries
A Presentation of Current Research on Partitions of Lines and Space

A Presentation of Current Research on Partitions of Lines and Space

Date: December 1999
Creator: Nugen, Frederick T.
Description: We present the results from three papers concerning partitions of vector spaces V over the set R of reals and of the set of lines in V.
Contributing Partner: UNT Libraries