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 
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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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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[4] Kuratovskii K., Topologiya, T. 1, Mir, M., 1966 | MR

[5] Kuratovskii K., Topologiya, Mir, M., 1969, T. 2 | MR