arXiv subjects

Alex McCleary

Publications and source records attributed to Alex McCleary.

2 recordsLinked to original sources

arXiv2019

Positivity of Multiparameter Persistence Diagrams and Bottleneck Stability

Persistent homology studies the birth and death of cycles in a parameterized family of spaces. In this paper, we study the birth and death of cycles in a multifiltration of a chain complex with the goal of producing a persistence diagram that satisfies bottleneck stability.

math.AT↗

arXiv2019

Bottleneck Stability for Generalized Persistence Diagrams

In this paper, we extend bottleneck stability to the setting of one dimensional constructible persistences module valued in any small abelian category.

math.AT↗