Recently Dikranjan and Giuli characterized S(n)-ฮธ-closed spaces in terms of special covers and filters. They also gave some interesting results and examples, as well as listing several open problems. In this paper we give a partial solution to one of the questions they raised. We give conditions tha
โฆ LIBER โฆ
Properties of S-closed spaces
โ Scribed by T. Noiri
- Publisher
- Akadmiai Kiad
- Year
- 1980
- Tongue
- English
- Weight
- 339 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
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The problem to embed a space into a first countable H-closed like space is considered. As a consequence, it is shown that no upper bound exists either for the cardinality of a first countable almost Lindelof space or for the cardinality of an H-set contained in a first countable Hausdorff space.