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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 1, Pages 74–80 (Mi timm8)  
Separators of hereditarily arcwise connected continua admitting chebyshev systems of complex continuous functions

V. A. Koshcheev
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Abstract: A decomposition is constructed of a hereditarily arcwise connected continuum containing no open arcs and $\theta$-curves into two subcontinua with connected intersection, one of which has an arc or a simple closed curve as a separator. The results obtained are related to a problem called Overdeck’s conjecture.
Received: 15.07.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, Volume 261, Issue 1, Pages S131–S137
DOI: https://doi.org/10.1134/S008154380805012X
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: V. A. Koshcheev, “Separators of hereditarily arcwise connected continua admitting chebyshev systems of complex continuous functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 1, 2008, 74–80; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S131–S137
Citation in format AMSBIB
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\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\pages 74--80
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\pages S131--S137
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