Connected Subsets of Dendrites and Separators of the Plane
Connected subsets of dendrites and ones which are locally compact are characterized in the paper. Further, we characterize generalized continua that separate the plane into a finite number of components. Homogeneous families of separators of the plane are also investigated. The results are applied to specify the internal structure of members of a special family of separators of the plane. Several questions are asked.
J. J. Charatonik and W. J. Charatonik, "Connected Subsets of Dendrites and Separators of the Plane," Topology and its Applications, Elsevier, Jan 1990.
The definitive version is available at http://dx.doi.org/10.1016/0166-8641(90)90047-6
Mathematics and Statistics
Keywords and Phrases
connected; separator; dendrite; generalized continuum; decomposition; plane
Article - Journal
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