dc.contributor.author |
Leeman, Aaron, 1974- |
|
dc.date.accessioned |
2010-03-01T23:23:03Z |
|
dc.date.available |
2010-03-01T23:23:03Z |
|
dc.date.issued |
2009-06 |
|
dc.identifier.uri |
http://hdl.handle.net/1794/10227 |
|
dc.description |
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. |
en_US |
dc.description.abstract |
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. |
en_US |
dc.description.sponsorship |
Committee in charge: Hal Sadofsky, Chairperson, Mathematics;
Arkady Berenstein, Member, Mathematics;
Daniel Dugger, Member, Mathematics;
Dev Sinha, Member, Mathematics;
William Rossi, Outside Member, English |
en_US |
dc.language.iso |
en_US |
en_US |
dc.publisher |
University of Oregon |
en_US |
dc.relation.ispartofseries |
University of Oregon theses, Dept. of Mathematics, Ph. D., 2009; |
|
dc.subject |
Chromatic functors |
en_US |
dc.subject |
Bousfield functors |
en_US |
dc.subject |
Acyclic spaces |
en_US |
dc.subject |
Suspension spectrum |
en_US |
dc.subject |
Algebraic topology |
en_US |
dc.subject |
Mathematics |
en_US |
dc.title |
Stabilization of chromatic functors |
en_US |
dc.type |
Thesis |
en_US |