2025/05/23 by Bleile, Yossi Bokor, Fajstrup, Lisbeth, Heiss, Teresa +2
#55N31 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2505.17858
Motivated by applications in chemistry, we give a homlogical definition of tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex. For a filtered complex, this defines a persistence module. We give a method for identifying birth and death times using kernel persistence and a matrix reduction algorithm for pairing birth and death times.