On ideal sequence covering maps

Abstract

<p> In this paper we introduce the concept of ideal sequence covering map which is a generalization of sequence covering map, and investigate some of its properties. The present article contributes to the problem of characterization to the certain images of metric spaces which posed by Y. Tanaka [22], in more general form. The entire investigation is performed in the setting of ideal convergence extending the recent results in [11,15,16]. </p>

On I-quotient mappings and I-cs'-networks under a maximal ideal

“…Recently, the researches on I-convergence are mainly focused on aspects of I * -convergence [12], I-limit points [11], I-Cauchy sequence [5], ideal-convergence classes [4], selection principles [6], ideal sequence covering mappings [15,19] and so on. It is expected that I-quotient mappings and I-cs ′ -networks will also play active roles in the topological spaces.…”