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In this sequel to Resolution except for minimal singularities I, we find thesmallest class of singularities in four variables with which we necessarily endup if we resolve singularities except for normal crossings. The main newfeature is a characterization of singularities in four variables which occur aslimits of triple normal crossings singularities, and which cannot be eliminatedby a birational morphism that avoids blowing up normal crossings singularities.

Resolution except for minimal singularities II. The case of four variables