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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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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For non-integer j > 0 there exist signs making partial sums of k^j dense in R, via Thue-Morse blocks whose sums tend to zero with divergent variation plus a steering argument.
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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Dense signed sums of non-integer powers
For non-integer j > 0 there exist signs making partial sums of k^j dense in R, via Thue-Morse blocks whose sums tend to zero with divergent variation plus a steering argument.