In the article the General classification of all nonvariant points in the arbitrary types diagrams of phase equilibria with arbitrary number of components is carried out. The topological features of the arrangement of such nonvariant points relative to the figurative points of equilibrium phases are considered. Stability of monovariant equilibria (curves on phase diagrams) in the nearest neighborhood of nonvariant points is also considered. Recurrent equations are given for calculating the number of topological elements of phase diagrams (points, curves, surfaces, volumes, etc.) of phase coexistence from the data on the number of similar elements in less component subsystems. All the obtained regularities are confirmed by examples of specific phase diagrams of solubility, fusibility, liquid-vapor, delamination, etc.
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