Geodesic
Separators of hereditarily arcwise connected continua admitting chebyshev systems of complex continuous functions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 74-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. A. Koshcheev. Separators of hereditarily arcwise connected continua admitting chebyshev systems of complex continuous functions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 74-80. http://geodesic.mathdoc.fr/item/TIMM_2008_14_1_a6/

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