On near soft seperation axioms and kuratowski closure-operator

Yıl 2022, , 728 - 737, 08.07.2022

Koray Yılmaz , Hatice Taşbozan , Aydın Güzelkokar

https://doi.org/10.25092/baunfbed.1055987

Öz

In this study, the basic concepts that we will use in the first chapter are given. Next, the near soft topological space and some properties of this structure are given. In the third chapter, the connection of the near soft topological space with the separation axioms is examined, the separation axioms of the near soft topological space are shown and some examples are given. We have shown that with the Kuratowski closure operator the axioms of being a near soft topology are satisfied.

Anahtar Kelimeler

Hausdorff space, Kuratowski closure operator, Seperation axioms, Reguler space.

Yakın esnek ayırma aksiyomları ve kuratowski kapanış operatörü üzerine

Öz

Bu çalışmada ilk bölümde kullanacağımız temel kavramlar verilmiştir. Daha sonra yakın esnek topolojik uzay ve bu yapının bazı özellikleri verildi. Üçüncü bölümde yakın esnek topolojik uzayın ayırma aksiyomları ile ilgili bağlantısı incelenmiş olup yakın esnek topolojik uzayının ayırma aksiyomları verildi. Kuratowski kapanış operatörü ile yakın esnek topoloji olma aksiyomlarının sağlandığını gösterdik.

Anahtar Kelimeler

Ayırma aksiyomları, Hausdorff uzayı, kuratowski kapanış operaötürü

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