2 papers
math.AT2026
Galois Connections in Persistent Homology
Aziz Burak Gulen, Alexander McCleary
We present a new language for persistent homology in terms of Galois connections. This language has two main advantages over traditional approaches. First, it simplifies and unifie…
cs.CG2026
Tensor Computation of Euler Characteristic Functions and Transforms
Jessi Cisewski-Kehe, Brittany Terese Fasy, Alexander McCleary +1
The weighted Euler characteristic transform (WECT) and Euler characteristic function (ECF) have proven to be useful tools in a variety of applications. However, current methods for…