Geodesic
The disjoint arcs property for homogeneous curves
Fundamenta Mathematicae, Tome 146 (1994) no. 2, pp. 159-169

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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

Paweł Krupski 1

1 
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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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