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Linear σ-additivity and some applications
Orenshtein, Tal...
Linear σ-additivity and some applications by Orenshtein, Tal ( Author )
N.A
28-06-2009
We show that countable increasing unions preserve a large family of well-studied covering properties, which are not necessarily sigma-additive. Using this, together with infinite-combinatorial methods and simple forcing theoretic methods, we explain several phenomena, settle problems of Just, Miller, Scheepers and Szeptycki [COC2], Gruenhage and Szeptycki [FUfin], Tsaban and Zdomskyy [SFT], and Tsaban [o-bdd, OPiT], and construct topological groups with very strong combinatorial properties.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/0906.5136
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