Linear σ-additivity and some applications

Tal Orenshtein; Boaz Tsaban

doi:10.1090/S0002-9947-2011-05228-1

Linear σ-additivity and some applications

Tal Orenshtein, Boaz Tsaban

Weizmann Institute of Science, Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3621-3637
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	363
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9947-2011-05228-1
State	Published - Jul 2011

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-2011-05228-1

Cite this

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Linear σ-additivity and some applications

Abstract

All Science Journal Classification (ASJC) codes

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