Some properties of S(n)-θ-closed spaces

✍ Scribed by Shouli Jiang; Ivan Reilly; Shuquan Wang

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 79 KB
• Volume: 96
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(98)00015-7

✦ Synopsis

Recently Dikranjan and Giuli characterized S(n)-θ-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 that make an S(n)-θ-closed space Katetov S(n). Furthermore, we provide examples which answer three of their questions in the general case.