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Showing 1 to 2 of 2 for “"Symmetric Monoidal Categories"”.
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Coherence for categorified operadic theories
… theory which can be described by a (possibly symmetric) operad P, we propose a definition of the weakening (or categorification) of the theory, in which equations that hold strictly for P -algebras hold only up to coherent isomorphism. This generalizes the theories of monoidal categories and …
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Generalized Rank Invariant : Structure, Möbius Inversion, and Persistence Diagram
Topological Data Analysis relies on persistent homology to quantify the shape of data. Unlike the one-parameter case, multiparameter persistence modules lack a complete discrete invariant analogous to barcodes, and their classification requires tools that can capture subtle interactions across the …