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arXiv · 2104.11411

Characterization of Contextuality with Semi-Module \v{C}ech Cohomology and its Relation with Cohomology of Effect Algebras

Sidiney B. Montanhano
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Abstract

I present a generalized notion of obstruction in \v{C}ech cohomology on semi-modules, which allows one to characterize non-disturbing contextual behaviors with any semi-field. This framework generalizes the usual \v{C}ech 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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BibTeXRIS

Sidiney B. Montanhano. 2021-04-23. Characterization of Contextuality with Semi-Module \v{C}ech Cohomology and its Relation with Cohomology of Effect Algebras. https://arxiv.org/abs/2104.11411

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