ON S-I-QUOTIENT MAPPINGS, S-I-cs-NETWORKS, S-I-cs'-NETWORKS AND S-wcs'-NETWORKS

ON S-I-QUOTIENT MAPPINGS, S-I-cs-NETWORKS, S-I-cs0-NETWORKS AND S-wcs0-NETWORKS

CARLOS GRANADOS

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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 characteriza- tions of S-I-quotient mappings and S-I-cs0networks, 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.

Keywords: Ideal convergence, ideal spaces, S-I-sequential neighbourhood, S-I-quotient mappings, S-I-cs-networks, S-I-FU spaces.

AMS Subject Classification:54A20, 54B15, 54C08, 54D55, 40A05.