3 problems
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Boundary lower-bound conjecture for the rank invariant
Let a two-parameter representation have a boundary, whose components include closed curves, and let its rank invariant be the function assigning ranks to comparable parameter pairs…
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Generalized rank invariant obstruction for posets containing the 2 by 3 grid
Let be a finite poset in which the grid is embedded, and let be the set of connected spreads in . Generalized rank invariant co…
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Non-homologicality of generalized persistence diagrams relative to indecomposables
A persistence module is considered over a finite poset , with homological invariants defined relative to a chosen set of indecomposable modules. Indecomposable-relativ…