Adelaide Research & Scholarship
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https://hdl.handle.net/2440/134027
| Type: | Thesis |
| Title: | The Classifying Spaces of Some Categories |
| Author: | O'Loughlin, Kieran Emmett |
| Issue Date: | 2021 |
| School/Discipline: | School of Mathematical Sciences |
| Abstract: | In this thesis we describe the theory of simplicial covering spaces and present Segal's construction of the Algebraic K-theory spectrum of a permutative category. Using this theory and construction, we then identify the stable homotopy type of the Algebraic K-theory spectrum of the core of the category of finite sheeted simplicial covering spaces. This result generalises the Barratt-Priddy-Quillen Theorem. |
| Advisor: | Stevenson, Daniel Murray, Michael |
| Dissertation Note: | Thesis (MPhil) -- University of Adelaide, School of Mathematical Sciences , 2021 |
| Keywords: | Algebraic K-theory algebraic K-theory spectrum finite sheeted covering spaces |
| 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 |
| Appears in Collections: | Research Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| O'Loughlin2021_MPhil.pdf | 717.75 kB | Adobe PDF | View/Open |
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