An obstruction to property A
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- Christopher Neil Pritchard (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
- Advisor
- Gregory Bell
Abstract: We discuss large scale geometric properties of Cayley graphs of the integers using different infinite generating sets. We define the notion of k-prisms for graphs and study the large scale geometry of graphs with this property. It turns out that graphs with k-prisms for all k cannot have property A and thus are infinite dimensional in a strong sense. We give an example of an infinite family of graphs that have k-prisms for all k and we also give an example of a space the has property A and "almost has" k-prisms.
An obstruction to property A
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Created on 5/1/2018
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Additional Information
- Publication
- Thesis
- Language: English
- Date: 2018
- Keywords
- Cayley graph, Geometric group theory, k-prisms, Large scale geometry, Property A
- Subjects
- Geometric group theory
- Metric spaces
- Cayley graphs
- Prisms