Countable compactness, hereditary π-character, and the Continuum Hypothesis
نویسندگان
چکیده
منابع مشابه
Countable Compactness, Hereditary Π–character, and the Continuum Hypothesis
We prove that the Continuum Hypothesis is consistent with the statement that countably compact regular spaces that are hereditarily of countable π–character are either compact or contain an uncountable free sequence. As a corollary we solve a well–known open question by showing that the existence of a compact S–space of size greater than א1 does not follow from the Continuum Hypothesis.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2006
ISSN: 0166-8641
DOI: 10.1016/j.topol.2006.03.021