P-SPACES APPLICATIONS TO GENETIC DATA

A significant role in mathematical modeling and algorithms for applications to processing of genetic data (for example, Gene expression data) is played by infinite-dimensional P-spaces. Connected with them are infinite-dimensional P-groups and P-algebras. In particular, it's the group of all local analytical homeomorphisms of the real line into itself with a fixed point and the group of all formal series with real coefficients with formal fixed point. Both groups are P-groups. We prove here that these groups have the classical "canonical coordinates of first and second kinds". In genetic data processing the utilization of the topological-algebraic properties of P-spaces, P-groups and P-algebras permit to find "Genes functionality".