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ON Q-BITOPOLOGICAL SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 5، دوره 15، شماره 3، مرداد و شهریور 2018، صفحه 65-77 اصل مقاله (410.86 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3950 | ||
نویسندگان | ||
Rana Noor1؛ Arun K. Srivastava2؛ Sheo Kumar Singh* 3 | ||
1Department of Mathematics, University of Allahabad, Allahabad-211 002, India | ||
2DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, India | ||
3Department of Mathematics, Mahatma Gandhi Central University Bihar, East Champaran-845 401, India | ||
چکیده | ||
We study here $T_{0}$-$Q$-bitopological spaces and sober $Q$-bitopological spaces and their relationship with two particular Sierpinski objects in the category of $Q$-bitopological spaces. The epireflective hulls of both these Sierpinski objects in the category of $Q$-bitopological spaces turn out to be the category of $T_0$-$Q$-bitopological spaces. We show that only one of these Sierpinski objects is sober $Q$-bitopological space and its epireflective hull in the category of $T_0$-$Q$-bitopological spaces turns out to be the category of saturated $T_{0}$-$Q$-bitopological spaces. | ||
کلیدواژهها | ||
$Omega$-algebra؛ $Q$-bitopological space؛ Sierpinski $Q$-bitopological space؛ Sober $Q$-bitopological space؛ $T_0$-$Q$-bitopological space؛ Saturated $T_0$-$Q$-bitopological space؛ Epireflective hull | ||
مراجع | ||
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