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A Note on Extended Ambiguous Points
Published online by Cambridge University Press: 22 January 2016
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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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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1971
References
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