# Local Characterizations for Decomposability of 2-Parameter Persistence Modules

@article{Botnan2020LocalCF, title={Local Characterizations for Decomposability of 2-Parameter Persistence Modules}, author={Magnus Bakke Botnan and Vadim Lebovici and Steve Oudot}, journal={Algebras and Representation Theory}, year={2020} }

We investigate the existence of sufficient local conditions under which representations of a given poset will be guaranteed to decompose as direct sums of indecomposables from a given class. Our indecomposables of interest belong to the so-called interval modules, which by definition are indicator representations of intervals in the poset. In contexts where the poset is the product of two totally ordered sets (which corresponds to the setting of 2-parameter persistence in topological data…

## 2 Citations

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