Browsing by Author "Yildirim, E.D."

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Citation - WoS: 7
Citation - Scopus: 16
On some closed sets in ideal minimal spaces
(Springer, 2009) Oya Bedre Özbakır; Esra Dalan Yildirim; Yildirim, E.D.; Ozbakir, O.B.
The purpose of this paper is to introduce ideal minimal spaces and to investigate the relationships between minimal spaces and ideal minimal spaces. We define some closed sets in these spaces to establish their relationships. Basic properties and characterizations related to these sets are given. © 2009 Akadémiai Kiadó Budapest Hungary. © 2010 Elsevier B.V. All rights reserved.
Citation - WoS: 5
Citation - Scopus: 6
Some characterizations of β-paracompactness in ideal topological space
(New York Business Global, 2019) Esra Dalan Yildirim; Oya Bedre Özbakır; Aysegül Çaksu Güler; Yildirim, E.D.; Güler, A.C.; Ozbakir, O.B.
In this paper we introduce β-paracompactness with respect to an ideal (I-β-paracompactness) as a weak form of β-paracompactness and I-paracompactness. We give some relations between this concept and some other types of paracompactness and also we study some of its fundamental properties. © 2020 Elsevier B.V. All rights reserved.
Citation - WoS: 2
Citation - Scopus: 2
Some new approaches to neighborhoods via graphs
(SPRINGER, 2023) A. C. Guler; E. D. Yildirim; O. B. Ozbakir; Yildirim, E.D.; Güler, A.Ç.; Özbakir, O.B.
This paper aims to increase the accuracy measure of the subgraph of a graph and generate new nano topologies on the power set of vertices and edges of a graph. Firstly we introduce Ej-neighborhoods and Cj-neighborhoods which depend on vertices and edges of a simple directed graph by using j-neighborhoods for j E {out in n U}. Then we apply these neighborhoods to present the concepts of Ej-approximations and Cj-approximations. We investigate their main properties and relationships among them. Besides we define the accuracy measures of a subgraph with the help of these approximations and show that Cj-accuracy measures are the highest when we compare these accuracy measures with the previous one. Furthermore we generate new nano topologies via obtained approximations and illustrate that these topologies may not be comparable. Finally we give an application in physics to elucidate the current approximations are more general. Throughout the paper we summarize all with tables and to the