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A consistency result concerning hereditarily \(\alpha\)-Lindelöf spaces. (English) Zbl 0277.02018


MSC:

03E35 Consistency and independence results
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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References:

[1] P. Erdos andR. Rado, Intersection theorems for systems of sets,J. London Math. Soc. 35 (1960), pp. 85–90. · Zbl 0103.27901
[2] A. Hajnal andI. Juhász, On hereditarily {\(\alpha\)}-Lindelöf and {\(\alpha\)}-separable spaces,Ann. Univ. Sci. Budapest,11 (1968), pp. 115–124.
[3] I. Juhász, Cardinal Functions in Topology,Math. Centre Tract. 34 (Amserdam, 1971).
[4] K. Prikry, On a problem of Erdos, Hajnal and Rado,Discrete Math.,2 (1972), pp. 51–59. · Zbl 0239.04005
[5] J. R. Shoenfield, Unramified forcing,Proc. Symp. Pure Math.,13 Part1 (1971), A. M. S. · Zbl 0245.02056
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