This manuscript encompasses our published and unpublished topological results in physics. Topology, the mathematical branch that assesses objects and their properties preserved through deformations, stretching and twisting, allows the investigation of the most general physical systems 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 counterparts of BUT and its variants allow an inquiry of physical problems. The opportunity to treat systems as topological structures makes BUT a universal principle underlying natural phenomena.
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[v1] 2016-10-19 15:07:45
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