Stabilization of chromatic functors
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Date
2009-06
Authors
Leeman, Aaron, 1974-
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oregon
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.
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.
Keywords
Chromatic functors, Bousfield functors, Acyclic spaces, Suspension spectrum, Algebraic topology, Mathematics