A new functor calculus for posets yields necessary and sufficient conditions for n-parameter multipersistence modules to have projective dimension at most n-1 or n-2.
Analyzing collective motion with machine learning and topology.Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(12), 2019
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Cross effects for functors from posets
A new functor calculus for posets yields necessary and sufficient conditions for n-parameter multipersistence modules to have projective dimension at most n-1 or n-2.