On a generalization of the Selection Theorem of Mahler
نویسندگان
چکیده
The set of point sets of R, n > 1, having the property that their minimal interpoint distance is greater than a given strictly positive constant is shown to be equippable by a metric for which it is a compact topological space. We also show that its subsets of Delone sets of given constants in R, n > 1, are compact. We prove that this result implies the classical selection theorem of Mahler.
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تاریخ انتشار 2017