Tag: Filtration (mathematics)
Interval decompositions depend on free cokernels and field choice
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in MathematicsWhat the study found The study shows that pointwise free and finitely generated persistence modules over a principal ideal domain can be decomposed into intervals exactly when every structure map has a free cokernel. It also shows that, in torsion-free settings, the integer persistent homology module of a filtration of topological spaces has an interval…
