Geodesic
Planar rational compacta
Colloquium Mathematicum, Tome 68 (1995) no. 1, pp. 49-54
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In this paper we consider rational subspaces of the plane. A rational space is a space which has a basis of open sets with countable boundaries. In the special case where the boundaries are finite, the space is called rim-finite. 
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L. Feggos; S. Iliadis; S. Zafiridou. Planar rational compacta. Colloquium Mathematicum, Tome 68 (1995) no. 1, pp. 49-54. doi: 10.4064/cm-68-1-49-54

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