RT Journal Article
T1 On ω-independence and the Kunen-Shelah property
A1 Suárez Granero, Antonio
A1 Jiménez Sevilla, María Del Mar
A1 Moreno, José Pedro
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 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.
PB Cambridge Univ Press
SN 0013-0915
YR 2002
FD 2002-06
LK https://hdl.handle.net/20.500.14352/57522
UL https://hdl.handle.net/20.500.14352/57522
LA eng
NO Suátrez Granero, A., Jiménez Sevilla, M. M., Moreno, J. P. «ON $\omega$-INDEPENDENCE AND THE KUNEN–SHELAH PROPERTY». Proceedings of the Edinburgh Mathematical Society, vol. 45, n.o 2, junio de 2002, pp. 391-95. DOI.org (Crossref), https://doi.org/10.1017/S0013091500001061.
NO Supported in part by DGICYT grants PB 97-0240 and BMF2000-0609.
NO Dirección General de Investigación Científica y Técnica (España) 
NO BMF
DS Docta Complutense
RD 6 oct 2024