A note on a theorem of arhangel'skiǐ
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Mohammad Ismail
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Article
📅
1978
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Elsevier Science
⚖ 412 KB
Arhangel'skii proved that the Continuum Hypothesis implies that if a regular space X is hereditarily of pointwise countable type then the set of points at-which the character of X is countable is a dense subset of X. In this note we prove this theorem without the use of the Continuum Hypothesis.