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.
✦ LIBER ✦
Variations on a theorem of Arhangel’skii and Pytkeev
✍ Scribed by Vladimir Pavlović
- Publisher
- Akadmiai Kiad
- Year
- 2010
- Tongue
- English
- Weight
- 546 KB
- Volume
- 131
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
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