for each x in E and C(f,x) is identical to the extended plane for each x. Finally the authors extend a result of F.Bagemihl, G.Piranian and G.S.Young [Bul. Inst. Politehn. Iasi, n. Ser. 5, 29-34 (1959; Zbl 144.33203)] according to which there exists a function in H with the property that each x is the endpoint of three segments Lj such that the cluster sets along them have no point in common. A correction to the proof of Theorem 2 is given in MR 23.A1041 (1962).
Classif.: * 28-99 Measure and integration
Index Words: complex functions
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