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Source : Mathematical Methods ... ✕Department : Uygulamalı Matematik ... ✕
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Redefining disoriented knots and diagrammatic methods

İsmet ALTINTAŞ

Altintas (2018) introduced a new concept with the name of disoriented knot. He defined a disoriented knot as an embedding of a disoriented circle with two arcs into Double-struck capital R3. In this paper, we redefine a disoriented knot as an embedding of a disoriented circle with 2n arcs into Double-struck capital R3 and expand the diagrammatic invariants and methods of classical knot theory such as connected sum, Reidemeister moves, Gauss codes, and Gauss diagrams to disoriented knot theory. Thus, we create the basic diagrammatic invariants and methods of disoriented knot theory.

Article 2022 Fen Fakültesi Mathematical Methods in the Applied Sciences45 ( Special Issue: 18 ) 41 Views
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A new approach for soft topology and soft function via soft element

İsmet ALTINTAŞ

In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe ...More

Article 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 68 Views
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Countable and separable elementary soft topological space

İsmet ALTINTAŞ

This paper is an introduction to countable and separable elementary soft topological spaces, which includes concepts such as dense soft set, first countability, second countability, separability and Lindelof properties and some basic properties of them in the elementary soft topological spaces.

Article 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 39 Views
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