Geodesic
Some topological properties of $\omega$-covering sets
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 865-877

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We prove the following theorems: There exists an ${\omega }$-covering with the property $s_0$. Under $\mathop {\mathrm cov}\nolimits ({\mathcal N}) = $ there exists $X$ such that $ \forall _{B \in {\mathcal B}or} [B\cap X$ is not an ${\omega }$-covering or $X\setminus B$ is not an ${\omega }$-covering]. Also we characterize the property of being an ${\omega }$-covering.
Classification : 03E15, 03E20, 28A05, 28E15
Keywords: ${\omega }$-covering set; ${\mathcal E}$; hereditarily nonparadoxical set 
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     title = {Some topological properties of $\omega$-covering sets},
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Nowik, Andrzej. Some topological properties of $\omega$-covering sets. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 865-877. http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a13/