The phase equilibria in ternary systems with one volatile component and a homogeneous supercritical fluid (SCF) region in one of the binary subsystems (with two critical end-points p and Q) were analyzed. Heterogenization of SCFs, extending from the 2d′ boundary subsystem into a ternary system, starts with monovariant critical phenomena in saturated solutions (l1 = l2-s) or (g = l−s), which pass through the extremal parameters of the temperature or composition to form special critical equilibria such as double critical end-points DCEs (l1 = l2-s, g = l-s, l1 = l2-g) or double homogeneous points DHPs (l1 = l2-s ↔ g = l-s). Ternary nonvariant critical points (l1 = l2 = g, l1 = l2-g-s, and l1 = g-l2-s) appear at the intersections of the monovariant critical and noncritical curves.