Browsing by Author "Ugur, Tamer"

Now showing 1 - 6 of 6

Compactifications and F-Spectral Spaces
(Yarmouk Univ, Deanship Research & Graduate Studies, 2014) Elmali, Ceren Sultan; Ugur, Tamer
If X is T-3, it is showed that the Fan-Gottesman compactification of X can be embedded into compactification (X* ; k) of X obtaining by a combined approach of nets and open filters. By F-spectral, we mean a topological space X such that the Fan-Gottesman compactification of X is a spectral space. We give necessary and sufficient conditions on X in order to get F-spectral.
Düğümlerle Eşlenen Bitopolojiler Üzerine Bir Çalışma
(2023) Elmalı, Ceren Sultan; Yalaz, Ferit; Ugur, Tamer
Literatürde, düğüm digraf notasyonu olarak isimlendirilen bir yöntem yardımıyla bazı düğümlerle bitopolojiler eşlendi. Bu bitopolojileri elde etmek için düğüm grafları ve quasi pseudo metrik uzaylar kullanıldı. Quasi pseudo metrikler yardımıyla bir küme üzerinde iki yeni topoloji elde edildi. Bu sayede bazı düğümler ile bitopolojiler arasında bir eşleme kurulmuş oldu.Yazarlar “Düğümlerle eşlenen bitopolojiler verildiğinde, düğümün kendisi elde edilebilir mi?” sorusuna cevap aradılar ve bir yöntem verdiler. Bu bahsedilen yöntem 6 adımdan oluşmaktadır. Bu çalışmada ise düğüm digraf notasyonun tersinin, Alexander-Briggs notasyonuna göre 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) düğümleri için sağlandığı detaylı bir şekilde gösterilmektedir.
Fan-Gottesman Compactifications and Stone Space
(Yildiz Technical University, 2019) Elmali, Ceren Sultan; Ugur, Tamer
A Stone space is a zero dimensional, compact and T-0 - topological space. Also it is called Boolean space. There are a lot of methods for obtainnig compact space. Aleksandrov, Stone-Cech, Wallman and FanGottesman compactification are four of them. In this paper, it is discussed Fan-Gottesman compactification of regular space with normal base and necessary and sufficient conditions for Fan-Gottesman compactification of T-3 space to be a Stone space are given by considering relation between the Stone space and compact space.
FG-Morphisms and FG-Extensions
(Hacettepe Univ, Fac Sci, 2014) Elmali, Ceren Sultan; Ugur, Tamer
We investigate the relations between Fan-Gottesman compactification and categories. We deal with maps having an extension to a homeomorphism between the Fan-Gottesman compactification of their domains and ranges.
On New Knot Tables
(E D P Sciences, 2018) Elmali, Ceren Sultan; Ugur, Tamer; Kunduraci, Tugce
The quasi-pseudo metrics on the vertices of a digraph induces a unique bitopology. In this work, we obtained that a bitopology is associated with any knot k(m), where k is crossing points of knot and m = 1,2 by using quasi-pseudo metrics on the vertices of a digraph which is called knot digraph by us, when we consider relation between the knot and its graph (knot digraph notation). Also some topological properties of bitopology obtained by using quasi-pseudo metric and associated with the knot digraphs are investigated.
The Reverse Operation of Knot Digraph Notation
(E D P Sciences, 2018) Ugur, Tamer; Elmali, Ceren Sultan; Yalaz, Ferit
It is well known that bitopologies associated with knot digraphs is finded by using knot digraph notation. In this work, we have developed a method that we called reverse of knot digraph notation to find out which knot belongs to when a bitopology associated with the knot is given.