This manuscript encompasses our published and unpublished topological results in neuroscience. Topology, the mathematical branch that assesses objects and their properties preserved through deformations, stretching and twisting, allows the investigation of the most general brain features. In particular, the Borsuk-Ulam Theorem (BUT) states that, if a single point projects to a higher spatial dimension, it gives rise to two antipodal points with matching description. Physical and biological counterparts of BUT and its variants allow an inquiry of the brain activity. The opportunity to treat the nervous system as a topological structure makes BUT a universal principle underlying neural phenomena and brain function.
Comments: 153 Pages.
[v1] 2016-10-18 10:06:20
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