Cq(X) Uzayının Sayılabilirlik Özellikleri Üzerine Bazı Sonuçlar

Yıl 2019, Cilt: 9 Sayı: 3, 582 - 587, 15.07.2019

İsmail Osmanoğlu

https://doi.org/10.17714/gumusfenbil.551030

Öz

Bu
makalenin amacı C(X) kümesi üzerindeki yarı kompakt-açık topolojinin ikinci
sayılabilirlik, ayrılabilirlik, B0-uzay
özelliği, N0-uzay
özelliği ve kozmik uzay özelliği gibi sayılabilirlik özellikleri için bazı
sonuçlar verilmiştir. Son olarak bu sonuçlar C(X) kümesi üzerindeki
clp-kompakt-açık topoloji için de elde edilmiştir.

Anahtar Kelimeler

Fonksiyon uzayı, İkinci Sayılabilirlik, Ayrılabilirlik, P_0-uzayı, ℵ_0-uzayı, Kozmik Uzay

Some Results on Countability Properties of C_q (X)

Öz

The aim of this
article is to study the countability properties of the quasi compact-open
topology on C (X) such as second
countability, separability and the properties of B0-spaces, N0-spaces and cosmic
spaces. Finally, these results were obtained for clp-compact-open topology on C
(X).

Anahtar Kelimeler

Separability, Function space, Second countable, Cosmic Space, P_0-space, ℵ_0-space

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