http://eprints.zu.edu.ua/id/eprint/13839 2017-03-01T08:50:08Z info:eu-repo/semantics/descriptiveMetadata http://eprints.zu.edu.ua/13839/ О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности Севостьянов, Е. А. Mathematical Analysis For open discrete mappings f WD n fbg ! R3 of a domain D � R3 satisfying relatively general geometric conditions in D n fbg and having an essential singularity at a point b 2 R3; we prove the following statement: Let a point y0 belong to R3 n f .D n fbg/ and let the inner dilatation KI .x; f / and outer dilatation KO.x; f / of the mapping f at the point x satisfy certain conditions. Let Bf denote the set of branch points of the mapping f: Then, for an arbitrary neighborhood V of the point 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 < 1g and gWU ! Rn is a quasiconformal mapping of a domain U � Rn such that A � U: Національна академія наук 2011 Article PeerReviewed text uk http://eprints.zu.edu.ua/13839/1/1.8.pdf Севостьянов, Е. А. (2011) О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности. Український математичний журнал, 63 (1). pp. 69-79. ISSN 1027-3190 russian info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage