Geodesic
Strongly semi-continuous functions and δ-stratifiable spaces
Filomat, Tome 36 (2022) no. 15, p. 5315

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DOI

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.
DOI : 10.2298/FIL2215315Y
Classification : 54C08, 54C30, 54E20
Keywords: Real-valued functions, semi-continuity, strong semi-continuity, δ-stratifiable spaces 
Er-Guang Yang; Zheng Jiang. Strongly semi-continuous functions and δ-stratifiable spaces. Filomat, Tome 36 (2022) no. 15, p. 5315 . doi: 10.2298/FIL2215315Y
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     title = {Strongly semi-continuous functions and \ensuremath{\delta}-stratifiable spaces},
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     doi = {10.2298/FIL2215315Y},
     language = {en},
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