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math.GN2019
Asymmetric completions of partial metric spaces
Takuma Imamura
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…
math.GN2019★ 1 cited
Fehrele's principle in nonstandard topology
Takuma Imamura
In nonstandard analysis, Fehrele's principle is a beautiful criterion for a set to be internal, stating that every galactic halic set is internal. In this note, we use this princip…