The Homotopy Calculus of Categories and Graphs

dc.contributor.advisor	Sadofsky, Hal
dc.contributor.author	Vicinsky, Deborah
dc.date.accessioned	2015-08-18T23:06:22Z
dc.date.available	2015-08-18T23:06:22Z
dc.date.issued	2015-08-18
dc.description.abstract	We construct categories of spectra for two model categories. The first is the category of small categories with the canonical model structure, and the second is the category of directed graphs with the Bisson-Tsemo model structure. In both cases, the category of spectra is homotopically trivial. This implies that the Goodwillie derivatives of the identity functor in each category, if they exist, are weakly equivalent to the zero spectrum. Finally, we give an infinite family of model structures on the category of small categories.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/19283
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.subject	Algebraic topology	en_US
dc.subject	Goodwillie calculus	en_US
dc.subject	Homotopy theory	en_US
dc.subject	Model categories	en_US
dc.title	The Homotopy Calculus of Categories and Graphs
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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