Additivity properties of topological diagonalizations

Journal of Symbolic Logic 68 (4):1254-1260 (2003)
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.
Keywords Menger property   Hurewicz property   selection principles   near coherence of filters
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DOI 10.2178/jsl/1067620185
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