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Matematicheskie Zametki, 1972, Volume 11, Issue 4, Pages 459–462 (Mi mzm9810)  
On some conditions on mappings of spaces onto cylindrical domains

V. A. Zorich, V. S. Samovol

M. V. Lomonosov Moscow State University
Full-text PDF (440 kB)
Abstract: Criteria are given for a local homeomorphism $f: R^n\to R^n$ to be a homeomorphism of $R^n$ onto a strip. In the planar case, this gives a condition for $f$ to be a transformation of $R^2$ onto a band.
Received: 05.04.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 4, Pages 279–280
DOI: https://doi.org/10.1007/BF01367504
Bibliographic databases:
Document Type: Article
UDC: 513
Language: Russian
Citation: V. A. Zorich, V. S. Samovol, “On some conditions on mappings of spaces onto cylindrical domains”, Mat. Zametki, 11:4 (1972), 459–462; Math. Notes, 11:4 (1972), 279–280
Citation in format AMSBIB
\Bibitem{ZorSam72}
\by V.~A.~Zorich, V.~S.~Samovol
\paper On some conditions on mappings of spaces onto cylindrical domains
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 4
\pages 459--462
\mathnet{http://mi.mathnet.ru/mzm9810}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=301747}
\zmath{https://zbmath.org/?q=an:0244.30023|0235.30048}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 4
\pages 279--280
\crossref{https://doi.org/10.1007/BF01367504}
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