Geodesic
On Cantor manifolds for the small transfinite dimension
Commentationes Mathematicae, Tome 46 (2006) no. 2, pp. 163-168 Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series

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We show that some of the spaces \(X_\alpha\) constructed in [7] are Cantor manifolds for the small transfinite dimension trind, which is transfinite extension of the Menger-Urysohn dimension. That gives us the construction of such spaces that is simpler than constructions of metrizable Cantor manifolds for trind published hitherto. In addition, our examples are disjoint unions of Euclidean cubes and the irrationals.
DOI : 10.14708/cm.v46i2.5214
Mots-clés : Cantor manifolds, small transfinite dimension 
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Mirosława Reńska. On Cantor manifolds for the small transfinite dimension. Commentationes Mathematicae, Tome 46 (2006) no. 2, pp.  163-168. doi: 10.14708/cm.v46i2.5214

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