PreT (2) Objects in Topological Categories
APPLIED CATEGORICAL STRUCTURES, cilt.17, sa.6, ss.591-602, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 6
- Basım Tarihi: 2009
- Doi Numarası: 10.1007/s10485-008-9161-4
- Dergi Adı: APPLIED CATEGORICAL STRUCTURES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.591-602
- Anahtar Kelimeler: Topological category, Stack convergence spaces, Filter convergence spaces, PreT(2) objects
- Erciyes Üniversitesi Adresli: Evet
Özet
In previous papers, two notions of pre-Hausdorff (PreT (2)) objects in a topological category were introduced and compared. The main objective of this paper is to show that the full subcategory of PreT (2) objects is a topological category and all of T (0), T (1), and T (2) objects in this topological category are equivalent. Furthermore, the characterizations of pre-Hausdorff objects in the categories of filter convergence spaces, (constant) local filter convergence spaces, and (constant) stack convergence spaces are given and as a consequence, it is shown that these categories are homotopically trivial.