Classifying Spaces and Simplicial Groupoids
Date
2025
Authors
Drown, Matthew
Editors
Advisors
Stevenson, Daniel
Vozzo, Raymond
Vozzo, Raymond
Journal Title
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Thesis
Citation
Statement of Responsibility
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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.
School/Discipline
School of Computer and Mathematical Sciences
Dissertation Note
Thesis (MPhil.) -- University of Adelaide, School of Computer and Mathematical Sciences, 2025
Provenance
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