2 papers
math.AT2025
Elementary Methods for Persistent Homotopy Groups
Henry Adams, Mehmet Ali Batan, Mehmetcik Pamuk +1
We study the foundational properties of persistent homotopy groups and develop elementary computational methods for their analysis. Our main theorems are persistent analogues of th…
math.AT2024
A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules
Mehmet Ali Batan, Claudia Landi, Mehmetcik Pamuk
We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we exten…