A further theorem of the Sylvester type
Michael L. Edelstein, Fritz Herzog, L. M. Kelly · Proceedings of the American Mathematical Society · 1963
Theorem ITI has both substantially stronger hypotheses and a stronger conclusion. The present paper obtains the stronger conclusion of Theorem II from the weaker hypotheses of Theorem I. For a more elaborate bibliography and historical comment on problems of the Sylvester type see [2], [3], and [4]. Precisely what the situation is when the requiremenit that one of the sets be infinite is dropped is not known. (See [2, Theorem 4.1 ].) This imatter is still under investigation.