Completions of rationals

• Main Authors: Janusz J. Charatonik, Alfonso Villani
• Format: Article
• Language: English
• Published: Università degli Studi di Catania 1994-05-01
• Series: Le Matematiche
• Subjects: Completion; Dens; Homeomorphic; Irrationals; Metric; Metrizzable; Rationals; Reals; Zero-dimensional
• Online Access: http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/519
• ISSN: 0373-3505; 2037-5298

<p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">Spaces which are metrizable completions of the space </span><span style="font-style: normal;"><strong>Q</strong></span><span style="font-style: normal;"><span> of rationals are described. A characterization of metrizable spaces having the same family of metrizable completions as </span></span><span style="font-style: normal;"><strong>Q</strong></span><span style="font-style: normal;"><span> is deduced.</span></span></span></p>