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Formal model of topological change

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.