Geodesic
Remarks on the cardinality of a power homogeneous space
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 463-468.

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We provide a further estimate on the cardinality of a power homogeneous space. In particular we show the consistency of the formula $|X|\le 2^{\pi\chi(X)}$ for any regular power homogeneous ccc space.
Classification : 54A25
Keywords: homogeneous spaces; cellularity; $\pi$-character 
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Bella, Angelo. Remarks on the cardinality of a power homogeneous space. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 463-468. http://geodesic.mathdoc.fr/item/CMUC_2005__46_3_a7/