Browsing by Subject "Polytopes"

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    Homotopical characterization of strongly contextual simplicial distributions on cone spaces
    (Elsevier BV, 2024-07-01) Kharoof, Aziz; Okay, Cihan
    This paper offers a novel homotopical characterization of strongly contextual simplicial distributions with binary outcomes, specifically those defined on the cone of a 1-dimensional space. In the sheaf-theoretic framework, such distributions correspond to non-signaling distributions on measurement scenarios where each context contains 2 measurements with binary outcomes. To establish our results, we employ a homotopical approach that includes collapsing measurement spaces and introduce categories associated with simplicial distributions that can detect strong contextuality.