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- W1997788377 abstract "Marion Scheepers, in his studies of the combinatorics of open covers, introduced the property Split(U,V) asserting that a cover of type U can be split into two covers of type V. In the first part of this paper we give an almost complete classification of all properties of this form where U and V are significant families of covers which appear in the literature (namely, large covers, ω-covers, τ-covers, and γ-covers), using combinatorial characterizations of these properties in terms related to ultrafilters on N. In the second part of the paper we consider the questions whether, given U and V, the property Split(U,V) is preserved under taking finite or countable unions, arbitrary subsets, powers or products. Several interesting problems remain open." @default.
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- W1997788377 date "2004-10-01" @default.
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- W1997788377 title "The combinatorics of splittability" @default.
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- W1997788377 doi "https://doi.org/10.1016/j.apal.2003.03.001" @default.
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