| Yazarlar |
Dr. Öğr. Üyesi Sibel DEMİRALP
Kastamonu Üniversitesi, Türkiye |
Al-shami Tareq M.
|
|
Abushaheen Fuad A.
|
|
Abd El-latif Alaa M.
|
| Özet |
| This study focuses on defining separation axioms for sets without an inherent topological structure. By utilizing a mapping to relate such sets to a topological space, we first define a distinguishable relation over the universal set with respect to the neighborhood systems inspired by a topology of the co-domain set and elucidate its basic properties. To facilitate the way of discovering this distinguishable relation, we initiate a color technique for the equivalence classes inspired by a given topology. Also, we provide an algorithm to determine distinguishable members (or objects) under study. Then, we establish a framework for introducing separation properties within these structureless sets and examine their master characterizations. To better understand the obtained results and relationships, we display some illustrative instances. |
| Anahtar Kelimeler |
| equivalence relation | f T-topological distinguishability | separation axioms |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Mathematics |
| Dergi ISSN | 2227-7390 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2024 |
| Cilt No | 9 |
| Sayı | 6 |
| Sayfalar | 15701 / 15723 |
| Doi Numarası | 10.3934/math.2024758 |
| Makale Linki | http://dx.doi.org/10.3934/math.2024758 |
| Atıf Sayıları |
