Soft topolojik uzaylar üzerine
Yükleniyor...
Dosyalar
Tarih
2014-06-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selçuk Üniversitesi Fen Bilimleri Enstitüsü
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bu çalışma beş bölümden oluşmaktadır. Birinci bölümde; tezde kullanılan kavramların literatür bilgilerini kısaca özetleyen tezin giriş bölümü verildi. İkinci bölümde; soft küme teori ve 2011 yılında Çağman ve ark. [5] tarafından verilen soft topolojik uzaylar ile ilgili temel kavramlar ve bazı özellikler hatırlatıldı. Üçüncü bölümde; soft topolojik uzaylarda soft süreklilik tanımı, bazı yeni kavramlar ve temel teoremler verildi. Dördüncü bölümde; soft birinci sayılabilir uzay, soft ikinci sayılabilir uzay ve soft Lindelöf uzay kavramları verildi ve aralarındaki ilişkiler incelendi. Beşinci bölümde; soft kompaktlığın özellikleri incelenmeye devam edildi. Soft topolojik uzaylarda soft lokal kompakt, soft sayılabilir kompakt ve soft dizisel kompakt gibi bazı yeni kavramlar verildi. Ayrıca bu kavramlar arasındaki ilişkiler incelendi.
This study consists of five sections. In the first section; the introduction which has been summarized briefly literature knowledge of concepts used in thesis was given. In the second section; the basic concepts and some properties about soft set theory and soft topological space was proposed Çağman et.al in 2011 were reminded. In the third section; the definition of soft continuity, some new concepts and basic theorems in the soft topological spaces were given. In the fourth section; the concepts of soft first countable space, soft second countable space and soft Lindelöf space were given and the relations between these concepts were investigated. In the fifth section; investigating the properties of soft compactness have been continued. Some new concepts in soft topological spaces such as soft locally compact, soft countably compact, and soft sequential compact have been introduced. Also, the relations between these concepts have been investigated.
This study consists of five sections. In the first section; the introduction which has been summarized briefly literature knowledge of concepts used in thesis was given. In the second section; the basic concepts and some properties about soft set theory and soft topological space was proposed Çağman et.al in 2011 were reminded. In the third section; the definition of soft continuity, some new concepts and basic theorems in the soft topological spaces were given. In the fourth section; the concepts of soft first countable space, soft second countable space and soft Lindelöf space were given and the relations between these concepts were investigated. In the fifth section; investigating the properties of soft compactness have been continued. Some new concepts in soft topological spaces such as soft locally compact, soft countably compact, and soft sequential compact have been introduced. Also, the relations between these concepts have been investigated.
Açıklama
Anahtar Kelimeler
Soft sayılabilir kompakt, Soft topolojik uzay, Soft lokal kompakt, Soft Lindelöf, Soft kompakt, Soft ikinci sayılabilir, Soft dizisel kompakt, Soft birinci sayılabilir, Soft topological space, Soft countably compact, Soft locally compact, Soft lindelöf, Soft compact, Soft second countable, Soft sequential compact, Soft first countable
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Çoşkun, U. (2014). Soft topolojik uzaylar üzerine. Selçuk Üniversitesi, Yayımlanmış yüksek lisans tezi, Konya.
