Abstract
In this note we investigate certain aspects of ideal convergence of functions, in a very general context. We consider the situation, given an arbitrary infinite set S, free ideals I, K(⊂I) and a family F⊂[S]≥ω, when an I convergent function f from S to a topological space X will have a F-subfunction which is K convergent to the same limit. We present certain observations on such topological spaces. Further we also introduce the notion of I-cluster points of functions and make some observations.
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