β-G-BICONTINUOUS, β-G-COMPACTNESS AND β-G-STABLE IN DITOPOLOGICAL TEXTURE SPACES
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.1, pp.35-47
https://doi.org/10.7468/jksmeb.2019.26.1.35
Ibrahim, Hariwan Z.
Ibrahim,,
H.
Z.
(2019). β-G-BICONTINUOUS, β-G-COMPACTNESS AND β-G-STABLE IN DITOPOLOGICAL TEXTURE SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 26(1), 35-47, https://doi.org/10.7468/jksmeb.2019.26.1.35
Abstract
The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of <TEX>${\beta}$</TEX>-g-open and <TEX>${\beta}$</TEX>-g-closed sets and some of their characterizations are obtained. Finally, the relationships between these concepts and the other related concepts are investigated.
- keywords
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texture,
difunction,
<tex> ${\beta}$</tex>-g-closed,
<tex> ${\beta}$</tex>-g-open