2 papers
math.AT2021
Harmonic Persistent Homology
Saugata Basu, Nathanael Cox
We introduce harmonic persistent homology spaces for filtrations of finite simplicial complexes. As a result we can associate concrete subspaces of cycles to each bar of the barcod…
math.AT2018
On the Reeb spaces of definable maps
Saugata Basu, Nathanael Cox, Sarah Percival
We prove that the Reeb space of a proper definable map in an arbitrary o-minimal expansion of a real closed field is realizable as a proper definable quotient.…