1. Cf. my paper “Concerning Points of Continuous Curves Defined by Certain Im Kleinen Properties”, Math. Ann., footnote for references concerning this term.
2. I. e., a cutting ofM no proper subset of which cutsM; cf. my paper “Concerning Irreducible Cuttings of Continua”, Fund. Math., vol. 13.
3. Cf. R. G. Lubben, “Concerning Limiting Sets in Abstract Spaces”, Trans. Amer. Math. Soc., vol. 30 (1928).
4. Anna M. Mullikin, “Certain Theorems Relating to Plane Connected Point Sets”, Trans. Amer. Math. Soc., vol. 24 (1922), Theorem 1.
5. The class (ζ) may be generalized to include all points [P] ofM such that for some neighborhoodR ofP, P is accessible from at least two complementary domains ofM+F(R). Thus generalized, (ζ) includes all points ofM in whichM cuts the plane locally into a finite number (>1) of regions in the seuse of C. Zarankiewicz. (See Bull. Acad. Polonaise, 1927, pp. 193–218.)