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 Title: Obstructions to Constructing the Taylor Tower of Finite Degree Functors of Spectra Author(s): Chaoha, Phichet Doctoral Committee Chair(s): McCarthy, Randy Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics 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. Issue Date: 2001 Type: Text Language: English Description: 55 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. URI: http://hdl.handle.net/2142/86773 Other Identifier(s): (MiAaPQ)AAI3017037 Date Available in IDEALS: 2015-09-28 Date Deposited: 2001
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