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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
Fulltext:
PDF file (440 kB)
English version:
Mathematical Notes, 1972,
11
:4,
279–280
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025