- Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Cilt: 13 Sayı: 3
- A Work On Bitopologies Associated With Knots
A Work On Bitopologies Associated With Knots
Authors : Ferit Yalaz, Tamer Uğur, Ceren Sultan Elmali
Pages : 2105-2119
Doi:10.21597/jist.1278267
View : 29 | Download : 27
Publication Date : 2023-09-01
Article Type : Research
Abstract :The bitopologies have been associated with some knots in the literature with the help of a method called the knot digraph notation. The knot graphs and quasi pseudo metric spaces were used to obtain these bitopologies. With the help of quasi pseudo metrics, two topologies were obtained on a set. In this way, an association between some knots and bitopologies was established. The authors sought an answer to the question "Given the bitopologies associated with knots, can the knot itself be obtained ?” and they gave a method. This mentioned method consists of 6 steps.. In this work, it is shown in detail that according to the Alexander-Briggs notation, the reverse of the knot digraph notation is provided for the knots 3(1), 5(1), 5(2), 6(1), 6(2), 7(1), 7(2), 7(3), 8(1), 8(2), 8(3), 9(1), 9(2), 9(3), 10(1), 10(2), 10(3).Keywords : Düğüm, Digraf, Bitopoloji, Zayıf Küme, Güçlü Küme