О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности
Zhytomyr State University Library
View Archive Info| Field | Value | |
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http://eprints.zu.edu.ua/13839/
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| Title |
О точках ветвления трехмерных отображений с неограниченной характеристикой квазикомфорности
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| Creator |
Севостьянов, Е. А.
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| Subject |
Mathematical Analysis
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| Description |
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: |
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| Publisher |
Національна академія наук
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| Date |
2011
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
russian |
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| Identifier |
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 |
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