Mathematics and Applied Mathematics
July 14, 2014
A novel 14-D algebra based upon Kuratowski Monoid’s Closure and Complement operators is uncovered. 14 x 14 Matrix Representation, Conditions for inverse elements, 0-Commutator computed using Mathematica 9.0 . Almost Random Almost Incompressible large-length coefficients are found to have inverse. Matrix representation can have the form of a Stochastic Matrix, and its infinite power has a limit with two 1-valued eigenvalues and determinant 0. An approximate Logarithmic algorithm devised for mapping Kuratowski’s topological operators to 182 dimensional Lie Algebra of 14´14 Stochastic Matrices, thus a concept of pre-geometry is brought forth.