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- W2981253758 abstract "Ge and Lin (2015) proved the existence and the uniqueness of p-Cauchy completions of partial metric spaces under symmetric denseness. They asked if every (non-empty) partial metric space $X$ has a p-Cauchy completion $bar{X}$ such that $X$ is dense but not symmetrically dense in $bar{X}$. We construct asymmetric p-Cauchy completions for all non-empty partial metric spaces. This gives a positive answer to the question. We also provide a nonstandard construction of partial metric completions." @default.
- W2981253758 created "2019-10-25" @default.
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- W2981253758 date "2019-10-20" @default.
- W2981253758 modified "2023-09-27" @default.
- W2981253758 title "Asymmetric completions of partial metric spaces" @default.
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