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1. When describing the interior structure of an area minimizing m dimensional locally rectifiable current T in jR, one calls a point #£sp t r ^ s p t dT regular or singular according to whether or not x has a neighborhood V such that VT\spt T is a smooth m dimensional submanifold of 2?. As a result of the efforts of many geometers it is known that there exist no singular points in case m ^ 6 ; a detailed exposition of this theory may be found in [3, Chapter 5]. Recently it was proved in [2] that

bulletin of the american mathematical society

The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension