Geodesic
The spherical symmetrization and NED-sets on a~hyperplane
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 248-258

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The simple sufficient condition of NED-sets on a hyperplane are derived in terms of spherical approachability of its points from complement of this set on the hyperplane. 
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     author = {V. A. Shlyk},
     title = {The spherical symmetrization and {NED-sets} on a~hyperplane},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {248--258},
     publisher = {mathdoc},
     volume = {404},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a15/}
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V. A. Shlyk. The spherical symmetrization and NED-sets on a~hyperplane. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 27, Tome 404 (2012), pp. 248-258. http://geodesic.mathdoc.fr/item/ZNSL_2012_404_a15/