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A note on a theorem of arhangel'skiǐ

✍ Scribed by Mohammad Ismail

Publisher
Elsevier Science
Year
1978
Weight
412 KB
Volume
9
Category
Article
ISSN
0016-660X

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✦ Synopsis

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.

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