Characterization of Contextuality with Semi-Module Čech Cohomology and its Relation with Cohomology of Effect Algebras
arXiv:2104.11411
Abstract
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.
20 pages + references. Comments are welcome! V2: Corrected typos, section 2 revised, section 7 added, sections 8 and 9 rewritten