Completions of rationals

Janusz J. Charatonik, Alfonso Villani

Abstract


Spaces which are metrizable completions of the space Q of rationals are described. A characterization of metrizable spaces having the same family of metrizable completions as Q is deduced.


Keywords


Completion; Dens; Homeomorphic; Irrationals; Metric; Metrizzable; Rationals; Reals; Zero-dimensional

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