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$G_{\delta}$ sets in $\sigma$-ideals generated by compact sets. (arXiv:1807.00845v1 [math.LO])
来源于:arXiv
Given a compact Polish space $E$ and the hyperspace of its compact subsets
$\mathcal{K}(E)$, we consider the class of $G_{\delta}$ $\sigma$-ideals of
compact subsets of $E$ that can be represented via a compact subset of
$\mathcal{K}(E)$. If we extend such an ideal $I$ by considering $G_{\delta}$
(or analytic) sets that are covered by countable unions of sets in $I$, we show
that the extended collection can still be represented via some compact subset
of $\mathcal{K}(E)$. 查看全文>>