Stabilization of chromatic functors

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dc.contributor.authorLeeman, Aaron, 1974-
dc.date.accessioned2010-03-01T23:23:03Z
dc.date.available2010-03-01T23:23:03Z
dc.date.issued2009-06
dc.descriptionvii, 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.abstractWe 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.sponsorshipCommittee in charge: Hal Sadofsky, Chairperson, Mathematics; Arkady Berenstein, Member, Mathematics; Daniel Dugger, Member, Mathematics; Dev Sinha, Member, Mathematics; William Rossi, Outside Member, Englishen_US
dc.identifier.urihttps://hdl.handle.net/1794/10227
dc.language.isoen_USen_US
dc.publisherUniversity of Oregonen_US
dc.relation.ispartofseriesUniversity of Oregon theses, Dept. of Mathematics, Ph. D., 2009;
dc.subjectChromatic functorsen_US
dc.subjectBousfield functorsen_US
dc.subjectAcyclic spacesen_US
dc.subjectSuspension spectrumen_US
dc.subjectAlgebraic topologyen_US
dc.subjectMathematicsen_US
dc.titleStabilization of chromatic functorsen_US
dc.typeThesisen_US

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