A mapping f : X → Y is statistically sequence covering map if whenever a sequence {y n } convergent to y in Y, there is a sequence {x n } statistically converges to x in X with each x n ∈ f −1 (y n) and x ∈ f −1 (y). In this paper, we introduce the concept of statistically sequence covering map which is a generalization of sequence covering map and discuss the relation with covering maps by some examples. Using this concept, we prove that every closed and statistically sequence-covering image of a metric space is metrizable. Also, we give characterizations of statistically sequence covering compact images of spaces with a weaker metric topology.
In this paper, we extend the study of Ψ H operator introduced and studied in [5] and rectify the errors in the paper. Moreover, characterizations of µ−codense and strongly µ−codense hereditary classes in generalized topological spaces are also given.
In this paper, we study I-paracompact spaces and discuss their properties. Also, we characterize I-paracompact spaces. Some of the results in paracompact spaces have been generalized in terms of I−paracompact spaces.
The main aim of this paper is to show that every GTS can be realized as a μ-closed subspace of a generalized hyperconnected space. Also, we give more characterizations of generalized hyperconnected spaces.
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