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A Note on Holsztyński's Theorem

✍ Scribed by J. ARAUJO; J. J. FONT; S. HERNÁNDEZ


Book ID
119873402
Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
172 KB
Volume
788
Category
Article
ISSN
0890-6564

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A note on a theorem of arhangel'skiǐ
✍ Mohammad Ismail 📂 Article 📅 1978 🏛 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.