Geodesic
On boundary behavior of typical mappings
Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 623-638.

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In this article the structure of radial limit sets is investigated for typical mappings defined in the unit ball in $n$-dimensional Euclidean space $\mathbb R^n$ for $n\ge2$ and belonging to various function spaces. The structure of the sets of all such mappings in these function spaces is also studied. As an auxiliary result we obtain a description of the structure of typical compact sets in $\mathbb R^n$ for $n\ge1$. 
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Yu. A. Shevchenko. On boundary behavior of typical mappings. Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 623-638. http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a8/

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