ON Q-BITOPOLOGICAL SPACES

نویسندگان
Srivastava, Arun K. ID 1
Noor, Rana ID 2
Singh, Sheo Kumar ID 3

1 DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi-221 005, India

2 Department of Mathematics, University of Allahabad, Allahabad-211 002, India

3 Department of Mathematics, Mahatma Gandhi Central University Bihar, East Champaran-845 401, India

doi
10.22111/ijfs.2018.3950
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