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Rudolph diagrams and an analytic realization of the Vitushkin covering

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Abstract

An example of a three-sheeted covering over the ball in ℂ2 is constructed. The covering is the union of a four-dimensional ball with an analytic disk. The projection of the ball is a local homeomorphism ramified along the disk, whose projection is a part of an algebraic curve.

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Authors and Affiliations

  1. Institute for System Analysis, Russian Academy of Sciences, USSR

    S. Yu. Orevkov

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  1. S. Yu. Orevkov
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Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 206–224, August, 1996.

This research was partially supported by the Russian Foundation for Basic Research under grant No. 93-011-225.

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Orevkov, S.Y. Rudolph diagrams and an analytic realization of the Vitushkin covering. Math Notes 60, 153–164 (1996). https://doi.org/10.1007/BF02305179

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  • DOI: https://doi.org/10.1007/BF02305179

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