A NOTE ON THE BOURBAKI-COMPLETENESS AND THE COFINAL BOURBAKI-COMPLETENESS
نویسندگان
چکیده
In this paper, we review two properties of completeness known as the Bourbaki-completeness and cofinal in setting metric spaces. These notions came from new classes generalized Cauchy sequences appearing when characterizing so-called Bourbaki-boundedness a similar way that characterize totally boundedness. For clustering Bourbaki–Cauchy cofinally sequences, have respectively what is call The topological problem metrizability by means Bourbaki-complete or has also been considered. Finally, present detailed some relationships mutual differences between these kinds completeness.
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ژورنال
عنوان ژورنال: International journal of mathematics and computer research
سال: 2023
ISSN: ['2320-7167']
DOI: https://doi.org/10.47191/ijmcr/v11i1.06