Some Reasons Why Algebraic Topology is Important in Neuropsychology: Perceptual and Cognitive Systems as Fibrations

Abstract The topological structure of fibration (a total space coupled with a base space by a projection mapping) appears to be found throughout the CNS. Neuropsychological structure and functioning are analysed in terms of such fibrations, and application made to perceptual and cognitive systems. The key feature of “mechanistic” cognition appears to be a CNS embodiment of the category of simplicial sets. Specific structures for problem-solving and memory are determined in terms of this category.

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