vii, 34 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. / We study the Bousfield localization functors known as [Special characters omitted], as described in [MahS]. In particular we would like to understand how they interact with suspension and how they stabilize.
We prove that suitably connected [Special characters omitted]-acyclic spaces have suspensions which are built out of a particular type n space, which is an unstable analog of the fact that [Special characters omitted]-acyclic spectra are built out of a particular type n spectrum. This theorem follows Dror-Farjoun's proof in the case n = 1 with suitable alterations. We also show that [Special characters omitted] applied to a space stabilizes in a suitable way to [Special characters omitted] applied to the corresponding suspension spectrum. / Committee in charge: Hal Sadofsky, Chairperson, Mathematics;
Arkady Berenstein, Member, Mathematics;
Daniel Dugger, Member, Mathematics;
Dev Sinha, Member, Mathematics;
William Rossi, Outside Member, English
| Identifer | oai:union.ndltd.org:uoregon.edu/oai:scholarsbank.uoregon.edu:1794/10227 |
| Date | 06 1900 |
| Creators | Leeman, Aaron, 1974- |
| Publisher | University of Oregon |
| Source Sets | University of Oregon |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
| Relation | University of Oregon theses, Dept. of Mathematics, Ph. D., 2009; |
Page generated in 0.0017 seconds