Stratifying Configuration Spaces for Persistent Homology
- Monday, April 15, 2019 from 2:10pm to 3:00pm
- Wilson Hall, 1122 - view map
The collection of all finite subsets of a given metric space is a natural starting point to understand the foundations of persistent homology. We consider the product of this collection with the non-negative reals as a domain for the \v Cech construction of a simplicial complex. The stability of this construction stratifies the domain and allows us, among other things, to describe paths in configuration spaces as morphisms of persistent homology.
- Gianforte School of Computing