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On statistically sequentially quotient maps. (English) Zbl 1462.54025

Summary: In this paper, we introduce the concept of statistically sequentially quotient map which is a generalization of sequence covering map and discuss the relation with covering maps by some examples. Using this concept, we give an affirmative answer for a question by Fucai Lin and Shou Lin [“On sequence-covering boundary compact maps of metric spaces”, Adv. Math., Beijing 39, No. 1, 71–78 (2010)].

MSC:

54E40 Special maps on metric spaces
54D30 Compactness
54D55 Sequential spaces
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
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