Characterizing indecomposable plane continua from their complements

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dc.creatorCurry, Clinton P.
dc.creatorMayer, John C.
dc.creatorTymchatyn, E. D.
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:55:48Z
dc.date.available2026-07-07T09:55:48Z
dc.descriptionWe 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.
dc.description11 pages, 3 figures. To appear in Proceedings of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/0805.3320
dc.identifierhttp://arxiv.org/abs/0805.3320
dc.identifierProceedings of the American Mathematical Society. Volume 136, Number 11, November 2008, Pages 4045--4055.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166760
dc.subjectGeneral Topology
dc.subjectDynamical Systems
dc.subject54F15 (Primary); 37F20 (Secondary)
dc.titleCharacterizing indecomposable plane continua from their complements
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