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When is a Pixley-Roy hyperspace CCC? (English) Zbl 0507.54007


MSC:

54A35 Consistency and independence results in general topology
03E50 Continuum hypothesis and Martin’s axiom
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
03E35 Consistency and independence results
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References:

[1] van Douwen, E., The Pixley-Roy topology on spaces of subsets, (Set Theoretic Topology (1977), Academic Press: Academic Press New York), 111-134 · Zbl 0372.54006
[2] Erdös, P.; Specker, E., On a theorem in the theory of relations…, Colloq. Math., 8, 19-21 (1961) · Zbl 0097.04202
[3] Hajnal, A.; Juhász, I., Weakly separated subspaces and networks, Proc. Mons Logic. Colloq., 235-245 (1978)
[5] Juhász, I., Cardinal function, Math. Centre Tract No. 34 (1971), Amsterdam
[6] Kunen, K.; Tall, F., Between Martin’s axiom and Suslin’s hypothesis, Fund. Math., 102, 173-181 (1979) · Zbl 0415.03040
[7] Lutzer, D., Pixley-Roy topology, Topology Proc., 3, 139-158 (1978) · Zbl 0435.54007
[8] Martin, D.; Solovay, R. M., Internal Cohen extensions, Ann. Math. Logic, 2, 178-193 (1970) · Zbl 0222.02075
[9] Rudin, M. E., Lectures on set-theoretic topology, (BMS) Reg. Conf. Ser. No. 23 (1975) · Zbl 0318.54001
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