Linear σ-additivity and some applications

Tal Orenshtein, Boaz Tsaban

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

We show that countable increasing unions preserve a large family of well-studied covering properties, which are not necessarily s-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 (1996), Gruenhage and Szeptycki (2005), Tsaban andZdomskyy (2008), and Tsaban (2006), (2007), and construct topological groups with very strong combinatorial properties.

Original languageEnglish
Pages (from-to)3621-3637
Number of pages17
JournalTransactions of the American Mathematical Society
Volume363
Issue number7
DOIs
StatePublished - Jul 2011

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