arXiv AI By Mirco A. Mannucci, Giovanni Sambin

Positive Topology and Feasible Refinement: Forcing Matrices, Positivity, and Information

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The paper introduces Positive Topology, a framework built on a basic relation between points (or models) and observable properties. It identifies two complementary structures: universal refinement and cover, and positivity and witnessed existence, showing that each can reconstruct the underlying relation. The authors present both information‑theoretic and game‑theoretic interpretations, and discuss how resource constraints can be integrated, illustrating applications in medical diagnosis, legal reasoning, and AI.

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