Characterization of Contextuality with Semi-Module Cech Cohomology and its Relation with Cohomology of Effect Algebras
Abstract
I present a generalized notion of obstruction in Cech cohomology on semi-modules, which allows one to characterize non-disturbing contextual behaviors with any semi-field. This framework generalizes the usual Cech 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.
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