The content of the present paper (relative also to Note II, due to appear in the next issue of these «Rendiconti») is explained in detail in § I where, besides, historical hints on some related topics are to be found. After a number of introductory remarks (§ II; cf. n. 4 for the definitions of some suitable new terms), § III deals at length with the Jacobian of an $\infty^{1}$ linear series of sets of points on a line, considered over the real field, in connection especially with the “separation” property of two of those sets.
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Con il contributo del Ministero per i Beni e le Attività Culturali