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. © 2011 American Mathematical Society.

Orenshtein, T., Tsaban, B. (2011). Linear σ-additivity and some applications. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(7), 3621-3637 [10.1090/S0002-9947-2011-05228-1].

Linear σ-additivity and some applications

Orenshtein T.;
2011

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. © 2011 American Mathematical Society.
Articolo in rivista - Articolo scientifico
infinite-combinatorial topology;
English
3621
3637
17
Orenshtein, T., Tsaban, B. (2011). Linear σ-additivity and some applications. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(7), 3621-3637 [10.1090/S0002-9947-2011-05228-1].
Orenshtein, T; Tsaban, B
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/362297
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