Filter Bases and j-ω-Perfect Mappings

Abstract

This paper consist some new generalizations of some definitions such: j-ω-closure converge to a point, j-ω-closure directed toward a set, almost j-ω-converges to a set, almost j-ω-cluster point, a set j-ω-H-closed relative, j-ω-closure continuous mappings, j-ω-weakly continuous mappings, j-ω-compact mappings, j-ω-rigid a set, almost j-ω-closed mappings and j-ω-perfect mappings. Also, we prove several results concerning it, where j Î{q, δ,a, pre, b, b}.

Keywords

• : Filter base, j-ω-closure converge, almost j-ω-converges, almost j-ω-cluster, j-ω-rigid a set, j-ω-perfect mappings. Math Subject Classification 2010: 54C05, 54C08, 54C10.