Achievement
Formal model of topological change
![0504494](/system/projects/logos/86/profile/0504494.png)
Project
Sensor Science, Engineering, and Informatics (SSEI)
University
University of Maine
(Orono, ME)
PI
Research Achievements
Formal model of topological change
IGERT student Chris Farah has extended a formal model of topological change in phenomena as monitored by Wireless Sensor Networks (WSN) to three dimensions. The third dimension adds the possibility of new events - cavity and tunnel formation/loss - and also, more complex ramifications during node deletion from a simplicial complex. The formal models for refining topological classification resulted in the development of mathematical concepts - simplex connectivity numbers and k-links - that can be applied over a number of research areas. Chris will defend his dissertation this summer and has a manuscript in publication with his co-advisors and and an IGERT student from cohort 5.
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