| Type of Document |
Dissertation |
| Author |
Ison, Molly E.
|
| URN |
etd-10072005-173425 |
| Title |
Two Aspects of Topology in Graph Configuration Spaces |
| Degree |
Master of Science |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Haskell, Peter E. |
Committee Chair |
| Brown, Ezra A. |
Committee Member |
| Farkas, Daniel R. |
Committee Member |
|
| Keywords |
- fundamental group
- pseudomanifold with boundary
- manifold
- braid group
- graph
- configuration space
|
| Date of Defense |
2005-10-07 |
| Availability |
unrestricted |
Abstract
A graph configuration space is generated by the movement of a finite number of robots on a graph. These configuration spaces of points in a graph are topologically interesting objects. By using local, combinatorial properties, we define a new classification of graphs whose configuration spaces are pseudomanifolds with boundary. In algebraic topology, graph configuration spaces are closely related to classical braid groups, which can be described as fundamental groups of configuration spaces of points in the plane. We examine this relationship by finding a presentation for the fundamental group of one graph configuration space.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Molly_Ison_thesis.pdf |
797.30 Kb |
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00:01:53 |
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