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McCarthy, Randy Chaoha, Phichet 2015-09-28T15:19:28Z 2015-09-28T15:19:28Z 10000-01-01 2001 2001 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. Made available in DSpace on 2015-09-28T15:19:28Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3017037.pdf: 1335357 bytes, checksum: 9b622b585b2faade8c963aa2f9fe058d (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 88054 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 55 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/86773 (MiAaPQ)AAI3017037 eng Mathematics Obstructions to Constructing the Taylor Tower of Finite Degree Functors of Spectra text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.