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A converse of the Jordan-Brouwer separation theorem in three dimensions

A converse of the Jordan-Brouwer separation theorem in three dimensions

Familiarity with this work is assumed throughout the present paper.The terminology "Betti number" is at present being employed more and more to denote connectivity numbers that are uniformly less by one unit than the numbers R* of the present paper.However, since the present paper is based so much upon the …