Geodesic
On a~sufficient condition for integrability of the banach indicatrix of a~smooth mapping
Izvestiya. Mathematics , Tome 23 (1984) no. 2, pp. 391-408

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Sufficient conditions are given for the convergence of integrals of the form $\int_{\mathbf R^k}(N(f,y))^p\,dy$, where $f\colon\mathbf R^n\to\mathbf R^k$ is a map with compact support with $k\leqslant n$ and $N(f,y)$ is the number of connected components of the level set $\{x:f(x)=y\}$. Bibliography: 5 titles. 
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     author = {S. A. Gulevich},
     title = {On a~sufficient condition for integrability of the banach indicatrix of a~smooth mapping},
     journal = {Izvestiya. Mathematics },
     pages = {391--408},
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     volume = {23},
     number = {2},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1984_23_2_a7/}
}
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S. A. Gulevich. On a~sufficient condition for integrability of the banach indicatrix of a~smooth mapping. Izvestiya. Mathematics , Tome 23 (1984) no. 2, pp. 391-408. http://geodesic.mathdoc.fr/item/IM2_1984_23_2_a7/