Topologically indistinguishable relations and separation axioms
Yazarlar (4)
Doç. Dr. Sibel DEMİRALP Kastamonu Üniversitesi, Türkiye
Tareq M. Al-Shami Sana'a University, Yemen
Fuad A. Abushaheen Middle East University Jordan, Ürdün
Alaa M. Abd El-Latif Northern Border University, Suudi Arabistan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Aims Mathematics (Q1) | ||
| Dergi ISSN | 2473-6988 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2024 |
| Cilt / Sayı / Sayfa | 9 / 6 / 15701–15723 | DOI | 10.3934/math.2024758 |
| Makale Linki | https://doi.org/10.3934/math.2024758 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 5 |
| Scopus | 5 |