Geodesic
Property kα,n on Spaces with Strictly Positive Measure
Canadian journal of mathematics, Tome 34 (1982) no. 5, pp. 1047-1058

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we study intersection properties of measurable sets with positive measure in a probability measure space, or equivalently, intersection properties of open subsets on a compact space with a strictly positive measure.The first result in this direction is due to Erdös and it is a negative solution to the problem of calibers on such spaces. In particular, under C.H., Erdös proved that Stone's space of Lebesque measurable sets of [0, 1] modulo null sets, does not have א1-caliber. 
Argyros, S.; Kalamidas, N. Property kα,n on Spaces with Strictly Positive Measure. Canadian journal of mathematics, Tome 34 (1982) no. 5, pp. 1047-1058. doi: 10.4153/CJM-1982-076-3
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