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Additivity properties of topological diagonalizations

Tomek Bartoszynski, Saharon Shelah, Boaz Tsaban

math.LOarXiv:math/0112262

Abstract

We answer a question of Just, Miller, Scheepers and Szeptycki whether certain diagonalization properties for sequences of open covers are provably closed under taking finite or countable unions. This is a very concise paper. For a self-contained, complete, and extended treatment of the topic see math.GN/0604451

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