Classifying Spaces and Simplicial Groupoids

dc.contributor.advisor	Stevenson, Daniel
dc.contributor.advisor	Vozzo, Raymond
dc.contributor.author	Drown, Matthew
dc.contributor.school	School of Computer and Mathematical Sciences
dc.date.issued	2025
dc.description.abstract	This thesis constructs a new model for the homotopy theory of spaces. In particular, we equip the category of simplicial groupoids with a new model structure which we demonstrate is Quillen equivalent to the Kan-Quillen model structure on the category of simplicial sets. We also take the first steps in developing an associated classifying theory for principal groupoid bundles.
dc.description.dissertation	Thesis (MPhil.) -- University of Adelaide, School of Computer and Mathematical Sciences, 2025	en
dc.identifier.uri	https://hdl.handle.net/2440/145169
dc.language.iso	en
dc.provenance	This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals	en
dc.title	Classifying Spaces and Simplicial Groupoids
dc.type	Thesis	en

Files

Now showing 1 - 1 of 1