Geodesic
Rudolph diagrams and an analytic realization of the Vitushkin covering
Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 206-224

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An example of a three-sheeted covering over the ball in $\mathbb C^2$ 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. 
@article{MZM_1996_60_2_a4,
     author = {S. Yu. Orevkov},
     title = {Rudolph diagrams and an analytic realization of the {Vitushkin} covering},
     journal = {Matemati\v{c}eskie zametki},
     pages = {206--224},
     publisher = {mathdoc},
     volume = {60},
     number = {2},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a4/}
}
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S. Yu. Orevkov. Rudolph diagrams and an analytic realization of the Vitushkin covering. Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 206-224. http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a4/