Characterizing indecomposable plane continua from their complements

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We show that a plane continuum X is indecomposable iff X has a sequence (U_n) of not necessarily distinct complementary domains satisfying what we call the double-pass condition: If one draws an open arc A_n in each U_n whose ends limit into the boundary of U_n, one can choose components of U_n minus A_n whose boundaries intersected with the continuum (which we call shadows) converge to the continuum.
11 pages, 3 figures. To appear in Proceedings of the American Mathematical Society

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General Topology, Dynamical Systems, 54F15 (Primary); 37F20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/166760

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.3320
 http://arxiv.org/abs/0805.3320
 Proceedings of the American Mathematical Society. Volume 136, Number 11, November 2008, Pages 4045--4055.

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