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• W1548378805 abstract "This paper deals with cluster sets. While cluster sets can be considered in a more abstract setting, we shall limit ourselves to the study of functions f defined in the open unit disc D of the complex plane and taking their values on the Riemann sphere C̅ . For p a point of the unit circle C , we denote by C(f,p) the cluster set of f at p, i.e., the set of all values w ∈ C̅ for which there is a sequence {z n }, z n ∈ D, such that z n → p and f(z n ) → w. The point p is called a point of determination for f if C(f, p) is a singleton. In Section 1 we characterize the set of points of determination of a function f defined in D." @default.
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• W1548378805 date "1975-06-01" @default.
• W1548378805 modified "2023-10-17" @default.
• W1548378805 title "Continuous Boundary Behaviour for Functions Defined in the Open Unit Disc" @default.
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• W1548378805 doi "https://doi.org/10.1017/s0027763000016548" @default.
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