One dimensional locally setwise homogeneous continua
Beverly Brechner (1972)
Fundamenta Mathematicae
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One dimensional locally setwise homogeneous continua
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The purpose of this paper is to prove: Théorème: In order that a continuum M should be a continuous curve it is necessary and sufficient that for every two distinct points A and B of M there should exist a subset of M which consists of a finite number of continua and which separates A from B in M. Théorème: In order that a bounded continuum M should be a continuous curve which contains no domain and does not separate the plane it is necessary and sufficient that for every two distinct...