Abstract
This chapter provides a theory of hippocampus structure and function based on category theory. In particular, it demonstrates that the co-operation of the grid fields gives rise to a “colimit” which is a place field. Section 8.2 provides an introduction to different theories of spatial representation. Sections 8.3 and 8.4 focus on the brain hippocampus as a representational device, studying its anatomy and physiology, reviewing cognitive theories associated with the hippocampal system. Sections 8.5–8.7 describe place cells, grid cells and head direction cells respectively. Section 8.8 describes a theory of brain spatial representation based on category theory. And in the last Sect. 8.9, a new framework for place and grid cells is described.
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