Note on a theorem of A. Aiba
✍ Scribed by Günter Lettl
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 56 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
If T or T \* is log-hyponormal then for every f g H T , Weyl's theorem holds Ž . Ž Ž .. for f T , where H T denotes the set of all analytic functions on an open Ž . neighborhood of T . Moreover, if T \* is p-hyponormal or log-hyponormal or Ž Ž .. Ž . M-hyponormal then for every f g H T , a-Weyl's t