Fan-Gottesman Compactification and Scattered Spaces
Applied Mathematics and Nonlinear Sciences, cilt.5, sa.1, ss.475-478, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 5 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.2478/amns.2020.1.00045
- Dergi Adı: Applied Mathematics and Nonlinear Sciences
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
- Sayfa Sayıları: ss.475-478
- Anahtar Kelimeler: Fan-Gottesman compactification, Scattered spaces
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Atatürk Üniversitesi Adresli: Evet
Özet
Compactification is the process or result of making a topological space into a compact space. An embedding of a topological space X as a dense subset of a compact space is called a compactification of X. There are a lot of compactification methods but we study with Fan- Gottesman compactification. A topological space X is said to be scattered if every non-empty subset S of X contains at least one point which is isolated in S. Compact scattered spaces are important for analysis and topology. In this paper, we investigate the relation between the Fan- Gottesman compactification of T-3 space and scattered spaces. We show under which conditions the Fan-Gottesman compactification X* is a scattered.