THE EVANSTON MEETING OF THE SOCIETY The fiftieth regular meeting of the Chicago Section of the American Mathematical Society, being the eighteenth regular western meeting of the Society, was held at Northwestern
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sets which admit a definition of distance. Fréchet gives the following definition of a complete set (JD) : a set (D) with preassigned elements of accumulation is complete if among all possible definitions of distance in (D) for which the elements of accumulation remain unchanged there is one with respect to which (D) admits a generalization of the theorem of Cauchy regarding the convergence of sequences; and remarks that it would be interesting to know whether there exist sets (D) which are not complete. I t is shown that if a set (D) contains a set H which is in its derived set H'', then (D) contains a perfect set. Therefore the rational numbers with distance defined as usual form a set (D) which is not complete. 17. Professor E. W. Chittenden: The Schmidt linear differential forms of a limited bilinear form in infinitely many vari-
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