The Universal Effectiveness of Topological Thermodynamics..Vol 6 Non-Equilibrium Systems and Irreversible Processes.Use Preview to see a Table of Contents Vol6. The Cartan Topology of exterior differential forms is equivalent to the disconnected, non metrizable, Kolmogorov T0 poset (3) topology of four ingredients. Examples are given to demonstrate that non equilibrium systems of distinguishable particles and irreversible processes are due to the non metrizable features of the Kolmogorov Cartan T0 topology. The problem of incorporating indistinguishable objects