İlkhan, MerveKara, Emrah Evren2020-04-302020-04-3020182331-1835https://doi.org/10.1080/25742558.2018.1487500https://hdl.handle.net/20.500.12684/2418Kara, Emrah Evren/0000-0002-6398-4065; Ilkhan, Merve/0000-0002-0831-1474WOS: 000439520400001Bourbaki complete metric spaces are important since they are a class between compact metric spaces and complete metric spaces. The aim of the present paper is to introduce the statistical Bourbaki-Cauchy sequence as a new concept and to give an equivalent condition for a metric space to be Bourbaki complete. Also, Bourbaki complete and Bourbaki-bounded metric spaces are characterized in terms of functions which preserve statistical Bourbaki-Cauchy sequences.en10.1080/25742558.2018.1487500info:eu-repo/semantics/openAccessBourbaki-Cauchy sequencesBourbaki completenessBourbaki boundednessstatistical convergenceasymptotic densityReview Article51N/A