%0 Journal Article
%A Suárez Granero, Antonio
%A Jiménez Sevilla, María Del Mar
%A Moreno, José Pedro
%T On ω-independence and the Kunen-Shelah property
%D 2002
%@ 0013-0915
%U https://hdl.handle.net/20.500.14352/57522
%X 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 of (conv) over bar({x(i)}(iis an element ofj/{j}) for every j is an element of J. This improves a previous result due to Sersouri, namely that every uncountable omega-independent family contains a convex right-separated subfamily.
%~