1-SEQUENCE-COVERING IMAGES OF SPACES HAVING sn-NETWORK g-FUNCTIONS

Abstract

Metrizability of topology space is one of the central problems in general topology. In 2007, Pengfei Yan, Shou Lin gave some condition about metrizability of topology space having weak base g-functions and characterization of symmetric spaces, g-metrizable spaces, g-developable spaces by weak base g-functions (see [3]). Recently, Tran Van An, Luong Quoc Tuyen has introduced the concept of sn-network g-functions. Then, the authors have given a characterization of snf-countable spaces, sn-symmetric spaces, Cauchy sn-symmetric spaces, sn-developable spaces, sn-metrizable spaces by sn-network g-functions (see [2]). In this paper, we will give some preservations of spaces having sn-network g-functions with some topological property by 1-sequence-covering. Using this results, we get preservations of some generalized metric spaces.