Robinson, Daniel Mark (2012) The Homotopy Exponent Problem For Certain Classes Of Polyhedral Products. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.
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Abstract
Given a sequence of n topological pairs, and a simplicial complex on n vertices, there is a topological space by a construction of Buchstaber and Panov. Such spaces are called polyhedral products and they generalize the central notion of the moment-angle complex in toric topology. In this thesis we study certain classes of polyhedral products from a homotopy theoretic point of view.
| Item Type: | Thesis (Doctoral) |
|---|---|
| Uncontrolled Keywords: | polyhedral product, homotopy, homotopy exponent, homotopy decomposition, Moore space, Barratt conjecture, Moore conjecture |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology |
| Depositing User: | Dr Daniel Mark Robinson |
| Date Deposited: | 13 Mar 2013 |
| Last Modified: | 20 Oct 2017 14:13 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1953 |
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