Title

Connected Subsets of Dendrites and Separators of the Plane

Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

connected; separator; dendrite; generalized continuum; decomposition; plane

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1990 Elsevier, All rights reserved.


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