by   Martin Kovár, Ganna Piddubna

Our simple experimental application Random Topology Generator uses the Wolfram Mathematica internal generator of pseudo-random numbers for simulation of random choice of a topology on a given finite set. The implemented algorithm ensures that all choices of each particular topology have (approximately) the same probability. The motivation is inspired by the joint paper [1] of the first author. The perceived topology of the universe may be a result of certain physical processes on a particle level, which probably have a random character. The purpose of the application is a simulation of this random process of topology generation and for testing the conjecture whether the locally Euclidean, manifold topology that is perceived at the large scale level, is, in some sense, a statistical average of these randomly generated and dynamically changing topologies arising on the particle level.