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Strongly Semi-Continuous Functions and δ-Stratifiable Spaces
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Strongly Semi-Continuous Functions and δ-Stratifiable Spaces
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Journal Article
Strongly Semi-Continuous Functions and δ-Stratifiable Spaces
2022
Overview
In [6], a sufficient condition for a space to be δ-stratifiable was presented and it was asked whether the condition is necessary. Jin et al [4] gave a negative answer to the question by showing that a space with the condition is zero-dimensional. In this paper, we show that a space with the condition is precisely an almost discrete space. Moreover, we introduce the notions of strongly lower (upper) semi-continuous functions, with which the characterizations of δ-stratifiable spaces are presented.
Publisher
University of Nis, Faculty of Sciences and Mathematics
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