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 ✦
On a question of Arhangel'skiǐ
✍ Scribed by A.J. Ostaszewski
- Publisher
- Elsevier Science
- Year
- 1973
- Weight
- 351 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0016-660X
No coin nor oath required. For personal study only.
✦ Synopsis
Aktnct= 'MS paper settles a question proposed by A.V. ArhmgWsW con&n&~ the ca* ' dtv of a commct Hausdorff space and it Met bound on the character of its points,
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