Geodesic
The σ-ideal of closed smooth sets does not have the covering property
Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 227-236 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the σ-ideal I(E) (of closed smooth sets with respect to a non-smooth Borel equivalence relation E) does not have the covering property. In fact, the same holds for any σ-ideal containing the closed transversals with respect to an equivalence relation generated by a countable group of homeomorphisms. As a consequence we show that I(E) does not have a Borel basis.
DOI : 10.4064/fm-150-3-227-236

Carlos E. Uzcátegui 1

1 
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Carlos E. Uzcátegui. The σ-ideal of closed smooth sets does not have the covering property. Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 227-236. doi: 10.4064/fm-150-3-227-236

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