Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
Projected Distances for Multi-Parameter Persistence Modules
2 Pith papers cite this work. Polarity classification is still indexing.
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A parameterized family of tensor products on persistence modules produces Künneth short exact sequences and universal coefficient theorems usable for persistent homology of filtered CW complexes and product spaces.
citing papers explorer
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Canopies: A Generalization of Vines and Vineyards for Parameterized Persistence
Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
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A continuum of K\"unneth theorems for persistence modules
A parameterized family of tensor products on persistence modules produces Künneth short exact sequences and universal coefficient theorems usable for persistent homology of filtered CW complexes and product spaces.