4 citations · 4 across the 1 of their papers we have counts for
2 papers
math.AT2021★ 4 cited
Bi-filtrations and persistence paths for 2-Morse functions
Ryan Budney, Tomasz Kaczynski
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image of filtrations of the plane for generic smooth functions f : M --> R^2. The pri…
math.DS2017
Linking combinatorial and classical dynamics: Conley index and Morse decompositions
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek +1
We prove that every combinatorial dynamical system in the sense of Forman, defined on a family of simplices of a simplicial complex, gives rise to a multivalued dynamical system F…