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 $n\ge1$. 
@article{IM2_1995_45_3_a8,
     author = {Yu. A. Shevchenko},
     title = {On boundary behavior of typical mappings},
     journal = {Izvestiya. Mathematics },
     pages = {623--638},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a8/}
}
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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/