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University of Illinois at Urbana-Champaign
Obstructions to Constructing the Taylor Tower of Finite Degree Functors of Spectra
Abstract
dc:descriptionIn this thesis, we introduce a new way to construct the Taylor tower of a (homotopy, reduced and finite degree) functor F from spectra to spectra. As a result, the notion of Tate obstructions as defined by Randy McCarthy is studied and generalized to the notion of higher order obstructions. These obstructions, which can be read off from the Taylor cotower of the homogeneous pieces of a functor F, reflect the complexity of building the Taylor tower of F. We also give some examples and a model for higher obstructions.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Chaoha, Phichet
- Contributors dc:contributor
-
- McCarthy, Randy
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3017037
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86773