Turkish Journal of Mathematics and Computer Science

Yazarlar: Seithuti Philemon Moshokoa

Konular:Mühendislik

Anahtar Kelimeler:Partial metric space,Complete,Completion

Özet: It is well known that every metric space admits a Cauchy completion which is unique up to isometry. This result was extended to partial metric spaces, which are generalization of metric spaces. It is the purpose of this paper to construct a 0-Cauchy completion of a partial metric space and we shall show that a 0-Cauchy completion is unique up to isometry. Finally, it is observed that the 0-Cauchy completion of a partial metric space is smaller than its Cauchy completion but coincides with the classical Cauchy completion when restricted to the category of metric spaces.

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