Geodesic
The disjoint arcs property for homogeneous curves
Fundamenta Mathematicae, Tome 146 (1994) no. 2, pp. 159-169
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The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and small subcontinua are not ∞-ods.
DOI : 10.4064/fm-146-2-159-169
Keywords: homogeneous continuum, aposyndetic curve, solenoid, disjoint arcs property, Menger universal curve 
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Paweł Krupski. The disjoint arcs property for homogeneous curves. Fundamenta Mathematicae, Tome 146 (1994) no. 2, pp. 159-169. doi: 10.4064/fm-146-2-159-169

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