A Modern Introduction to Algebraic Goodwillie Calculus

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atmire.migration.oldid843
dc.contributor.advisorBauer, Kristine
dc.contributor.advisorCunningham, Clifton
dc.contributor.authorJugdev, Tristan
dc.date.accessioned2013-04-25T15:36:01Z
dc.date.available2013-06-10T07:00:45Z
dc.date.issued2013-04-25
dc.date.submitted2013en
dc.description.abstractIn this thesis we will investigate the traditional algebraic Goodwillie calculus of Johnson and McCarthy (see [JM03]) from a more modern perspective. In particular, in the recent paper [BJM11], a new perspective on Goodwillie calculus in categories without a basepoint is given using modern machinery such as model categories, and homotopy limits and colimits. This thesis demonstrates that with relatively few modifications this language may be applied in the traditional setting to recover the same constructions found in [JM03]. As a final example, we investigate a result in [KM02] which demonstrates how this language may be applied to recover André-Quillen homology as the first derivative of a particular functor.en_US
dc.identifier.citationJugdev, T. (2013). A Modern Introduction to Algebraic Goodwillie Calculus (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/24796en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/24796
dc.identifier.urihttp://hdl.handle.net/11023/623
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectMathematics
dc.subject.classificationGoodwillie calculusen_US
dc.subject.classificationHomotopical algebraen_US
dc.titleA Modern Introduction to Algebraic Goodwillie Calculus
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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