TY - JOUR
T1 - Collectionwise Hausdorff
T2 - incompactness at singulars
AU - Fleissner, William G.
AU - Shelah, Saharon
PY - 1989/3
Y1 - 1989/3
N2 - Under set theoretic hypotheses, we construct a λ-collectionwise Hausdorff not λ+- collectionwise Hausdorff space of character c for certain singular cardinals λ. For example if V = L, and cf(λ) is not weakly compact, or if there are no inner models with large cardinals, λ is singular strong limit, and cf(λ) is the successor of a singular strong limit. Moreover, after forcing collapsing c to ω these spaces retain their properties; thus we obtain first countable examples.
AB - Under set theoretic hypotheses, we construct a λ-collectionwise Hausdorff not λ+- collectionwise Hausdorff space of character c for certain singular cardinals λ. For example if V = L, and cf(λ) is not weakly compact, or if there are no inner models with large cardinals, λ is singular strong limit, and cf(λ) is the successor of a singular strong limit. Moreover, after forcing collapsing c to ω these spaces retain their properties; thus we obtain first countable examples.
UR - http://www.scopus.com/inward/record.url?scp=38249025042&partnerID=8YFLogxK
U2 - 10.1016/0166-8641(89)90074-6
DO - 10.1016/0166-8641(89)90074-6
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AN - SCOPUS:38249025042
SN - 0166-8641
VL - 31
SP - 101
EP - 107
JO - Topology and its Applications
JF - Topology and its Applications
IS - 2
ER -