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Matematicheskie Zametki, 1969, Volume 5, Issue 6, Pages 709–718 (Mi mzm6884)  
A problem in plane topology

A. A. Sedaev

Voronezh State University
Full-text PDF (924 kB)
Abstract: In a closed and bounded region of the plane there is given a field of curves satisfying natural continuity properties expressed in geometrical terms. We show that such a field is easy to construct: the ends of all curves which separate the region lie on its boundary.
Received: 13.12.1967
English version:
Mathematical Notes, 1969, Volume 5, Issue 6, Pages 423–428
DOI: https://doi.org/10.1007/BF01374470
Bibliographic databases:
UDC: 513.83
Language: Russian
Citation: A. A. Sedaev, “A problem in plane topology”, Mat. Zametki, 5:6 (1969), 709–718; Math. Notes, 5:6 (1969), 423–428
Citation in format AMSBIB
\Bibitem{Sed69}
\by A.~A.~Sedaev
\paper A~problem in plane topology
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 6
\pages 709--718
\mathnet{http://mi.mathnet.ru/mzm6884}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=253306}
\zmath{https://zbmath.org/?q=an:0186.56403|0176.20103}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 6
\pages 423--428
\crossref{https://doi.org/10.1007/BF01374470}
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