Abstract Statistical convergence is an important extension of usual convergence. In this paper, the properties of statistically sequential spaces are studied. After introducing the concepts of statistically sequentially continuous mappings, statistically sequence-covering mappings and statistically sequentially quotient mappings, the relationship among the new or old mappings and their effects in statistically sequential spaces are discussed. Also a negative answer is given to a problem about the products of statistically sequential spaces.
LIU Li, TANG Zhong-bao, LIN Shou. Statistically sequential spaces and statistically sequentially quotient mappings. Applied Mathematics A Journal of Chinese Universities, 2015, 30(4): 485-493.
