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Overviewing Bott periodicity I am exploring whether and how Bott periodicity may express the eight-cycle of mental states, the divisions of everyting. Bott periodicity, considered broadly, refers to an eightfold periodicity of
These refer to entities over the real numbers. There also is a twofold Bott periodicity for entities over the complex numbers. Together they constitute what is known as the tenfold way, for example, of topological insulators. Taken together these ten things form the Brauer-Wall monoid of {$\mathbb{R}$}. Divisions of Everything Here are two academic presentations that I have given about this eight-cycle of divisions of everything.
Clifford algebras Symmetric spaces ![]() I will be studying how groups {$A_k=M(C_k)/i*M(C_{k+1})$} relate to John Baez's forgetful functor by which he defines symmetric spaces. Topological insulators Superalgebras Homotopy groups Notes |