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.
Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors.Proceedings of the National Academy of Sciences, 118(41):e2102166118, 2021
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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.