Abstract
In this paper, we define and introduce the notions of S-I-quotient mappings, S-I-cs-networks, S-I-cs?-networks and S-wcs?-networks, and study some characterizations of S-I-quotient mappings and S-I-cs? networks, especially S-J-quotient mappings and S-J-cs-networks on an ideal J of N. With these notions, we get that if X is a S-J-FU space with a point-countable S-J-cs?-network, then X is a meta-Lindelof space.