Abstract
A general design for a distributed system is presented which characterizes system recognition of external events as a sheaf in a Grothendieck topos on a category of diagrams. The information that the system may derive from this sheaf involves transitions through a state space constructed from a collection of topoi interconnected by geometric morphisms. Similarities of this design with natural neural systems leads to the premise that cognitive processes involve the construction and manipulation of sheaf-like structures.
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Cacioppo, R. Recognition in a Distributed System. Applied Categorical Structures 11, 447–471 (2003). https://doi.org/10.1023/A:1025761700168
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DOI: https://doi.org/10.1023/A:1025761700168