University of Illinois Urbana-Champaign

Obstructions to Constructing the Taylor Tower of Finite Degree Functors of Spectra

Chaoha, Phichet

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https://hdl.handle.net/2142/86773

Description

Title
Obstructions to Constructing the Taylor Tower of Finite Degree Functors of Spectra
Author(s)
Chaoha, Phichet
Issue Date
2001
Doctoral Committee Chair(s)
McCarthy, Randy
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
In 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.
Graduation Semester
2001
Type of Resource
text
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http://hdl.handle.net/2142/86773

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