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Non-metrizable hereditarily Lindelöf spaces with point-countable bases from CH. (English) Zbl 0356.54020

54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
03E50 Continuum hypothesis and Martin’s axiom
54E35 Metric spaces, metrizability
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
54G15 Pathological topological spaces
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