Separation properties at p for the topological category of Cauchy spaces
ACTA MATHEMATICA HUNGARICA, cilt.136, ss.1-15, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 136
- Basım Tarihi: 2012
- Doi Numarası: 10.1007/s10474-012-0238-z
- Dergi Adı: ACTA MATHEMATICA HUNGARICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1-15
- Erciyes Üniversitesi Adresli: Hayır
Özet
An explicit characterization of each of the separation properties T (i) , i=0,1, , and T (2) at a point p is given in the topological category of Cauchy spaces. Moreover, specific relationships that arise among the various T (i) , i=0,1, , and T (2) structures at p are examined in this category. Finally, we investigate the relationships between generalized separation properties and separation properties at a point p in this category.