Equivariant Piecewise-Linear Topology and Combinatorial Applications
dc.contributor.advisor | Ozaydin, Murad | |
dc.creator | Dover, James Robert | |
dc.date.accessioned | 2019-04-27T21:36:33Z | |
dc.date.available | 2019-04-27T21:36:33Z | |
dc.date.issued | 2011 | |
dc.identifier | 9933607002042 | |
dc.identifier.uri | https://hdl.handle.net/11244/319144 | |
dc.description.abstract | For G a finite group, we develop some theory of G-equivariant piecewise-linear topology and prove characterization theorems for G-equivariant regular neighborhoods. We use these results to prove a conjecture of Csorba that the Lovász complex Hom(C5,Kn) of graph multimorphisms from the 5-cycle C5 to the complete graph Kn is equivariantly homeomorphic to the Stiefel manifold, Vn-1,2, the space of (ordered) orthonormal 2-frames in Rn-1 with respect to an action of the cyclic group of order 2. | |
dc.format.extent | 80 pages | |
dc.format.medium | application.pdf | |
dc.language | en_US | |
dc.relation.requires | Adobe Acrobat Reader | |
dc.subject | Piecewise | |
dc.subject | Manifolds (Mathematics) | |
dc.subject | Differential topology | |
dc.title | Equivariant Piecewise-Linear Topology and Combinatorial Applications | |
dc.type | text | |
dc.type | document | |
dc.thesis.degree | Ph.D. | |
ou.group | College of Arts and Sciences::Department of Mathematics |
Files in this item
This item appears in the following Collection(s)
-
OU - Dissertations [9323]