<mods:mods version="3.3" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-3.xsd" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><mods:titleInfo><mods:title>О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности</mods:title></mods:titleInfo><mods:name type="personal"><mods:namePart type="given">Е. А.</mods:namePart><mods:namePart type="family">Севостьянов</mods:namePart><mods:role><mods:roleTerm type="text">author</mods:roleTerm></mods:role></mods:name><mods:abstract>For open discrete mappings f WD n fbg ! R3 of a domain D � R3 satisfying relatively general&#13;
geometric conditions in D n fbg and having an essential singularity at a point b 2 R3; we prove the&#13;
following statement: Let a point y0 belong to R3 n f .D n fbg/ and let the inner dilatation KI .x; f /&#13;
and outer dilatation KO.x; f / of the mapping f at the point x satisfy certain conditions. Let Bf&#13;
denote the set of branch points of the mapping f: Then, for an arbitrary neighborhood V of the point&#13;
y0; the set V \f .Bf / cannot be contained in a set A such that g.A/ D I; where I D ft 2 RW jt j &lt; 1g&#13;
and gWU ! Rn is a quasiconformal mapping of a domain U � Rn such that A � U:</mods:abstract><mods:classification authority="lcc">Mathematical Analysis</mods:classification><mods:originInfo><mods:dateIssued encoding="iso8061">2011</mods:dateIssued></mods:originInfo><mods:originInfo><mods:publisher>Національна академія наук</mods:publisher></mods:originInfo><mods:genre>Article</mods:genre></mods:mods>