Decomposition of Hyper Spaces of Soft Sets

Abstract

In this paper, frstly, we defne two new hyperspaces of soft sets called co-compact and co-Lindelöf
topological spaces and obtain some properties of them. Secondly, by use these topological spaces we defne the
C-continuous and L-continuous of soft multifunction and obtain some characterization of them. Finally, we give
the decomposition of these topological spaces with Vietoris soft topological spaces.

Keywords

• Soft continuity,soft hyperspaces,soft multifunction,soft sets,soft topological spaces

Esnek Kümelerin Hiper Uzaylarının Ayrıştırılması

Abstract

Bu makalede ilk olarak, esnek ko-kompakt ve esnek ko-Lindelöf topolojik uzaylar olarak isimlendirilen
esnek kümelerde iki yeni hiper uzay tanımladık ve bazı özelliklerini elde ettik. İkinci olarak, bu uzayları kullanarak
esnek küme değerli dönüşümlerin C-sürekliliği ve L-sürekliğini tanımladık ve bazı karakterizasyonlarını elde
ettik. Son olarak, bu iki uzayın birbiriyle ve bir diğer hiper uzay olan Vietoris topolojik uzay ile karşılaştırmasını
verdik

Keywords

• Esnek hiper uzay,esnek küme,esnek küme değerli dönüşüm,esnek süreklilik,esnek topolojik uzay

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