A Note on Extended Ambiguous Points
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Let f be an arbitrary function from the open unit disk D of the complex plane into the Riemann sphere S. If p is any point on the unit circle C, C(f, p) is the set of all points w such that there exists in D a sequence of points {Zj} such that zj→p and f(zj)→w. CΔ(f, p) is defined in the same way, but the sequence {Zj} is restricted to Δ⊂D. If α and β are two arcs in D terminating at p and Cα(f, p)∩Cβ(f, p) = Φ, p is called an ambiguous point for f.
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1970 ◽
Vol 40
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pp. 213-220
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1969 ◽
Vol 35
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pp. 151-157
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1964 ◽
Vol 16
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pp. 231-240
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1969 ◽
Vol 34
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pp. 105-119
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1966 ◽
Vol 18
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pp. 256-264
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