Characterization of Contextuality with Semi-Module Čech Cohomology and its Relation with Cohomology of Effect Algebras
Sidiney B. Montanhano · arXiv (Cornell University) · 2021
I present a generalized notion of obstruction in Čech cohomology on semi-modules, which allows one to characterize non-disturbing contextual behaviors with any semi-field. This framework generalizes the usual Čech cohomology used in the sheaf approach to contextuality, avoiding false positives. I revise a similar work done in the framework of effect algebras with cyclic and order cohomologies and explore the relationship with the one presented here.