TY - JOUR AU - Suárez Granero, Antonio AU - Jiménez Sevilla, María Del Mar AU - Moreno, José Pedro PY - 2002 DO - 10.1017/S0013091500001061 SN - 0013-0915 UR - https://hdl.handle.net/20.500.14352/57522 T2 - Proceedings of the Edinburgh Mathematical Society AB - We prove that spaces with an uncountable omega-independent family fail the Kunen-Shelah property. Actually, if {x(i)}(iis an element ofI) is an uncountable w-independent family, there exists an uncountable subset J.C I such that x(j) is not an element... LA - eng M2 - 391 PB - Cambridge Univ Press KW - ω-independence KW - Non-separable Banach spaces KW - Kunen–Shelah property TI - On ω-independence and the Kunen-Shelah property TY - journal article VL - 45 ER -