AN APPLICATION-OF NAGATA-SMIRNOV METRIZATION THEOREM
Wu Xinsheng
DOI:10.11835/j.issn.1674-4764.1988.02.006
Received ,Revised , Accepted , Available online July 01, 2015
Volume ,1988,Pages -
- Abstract
The B_*-axicm is introduced by professor Li Xiaochuan. Many studies on the B_*-axiom are made by him. Especially, he proves that if (X,d) is a metric space, d and d' are topology-equivalent, then in (X,d) B_*-axiom is true (?)(X,d') is a separable space. In this paper, the famous Nagata-Smirnov metrization theorem is employed to a metric space in which B_*-axiom is nontrue to make a one-point extension, and the extensional space is proved to be metrizable space.