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JOURNALS // Matematicheskie Zametki // Archive

Mat. 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

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.

UDC: 513

Received: 05.04.1971


 English version:
Mathematical Notes, 1972, 11:4, 279–280

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© Steklov Math. Inst. of RAS, 2025