CONTINUOUS FUNCTIONS ON LG-SPACES
محل انتشار: مجله ساختارهای جبری، دوره: 8، شماره: 2
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 219
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شناسه ملی سند علمی:
JR_JAS-8-2_004
تاریخ نمایه سازی: 7 بهمن 1399
چکیده مقاله:
By an $l$-generalized topological space, briefly an $LG$-space, we mean the ordered pair $(F,\tau)$ in which $F$ is a frame and $\tau$ is a subframe of $F$. This notion has been first introduced by A.R. Aliabad and A. Sheykhmiri in [$LG$-topology, { Bull. Iran. Math. Soc}., 41 (1), (2015), 239-258]. In this article, we define continuous functions on $LG$-spaces and determine conditions under which the continuous image of a compact element of an $LG$-space is compact. Moreover, we introduce the concept of connectedness for $LG$-spaces and determine conditions under which the continuous image of a connected element of an $LG$-space is connected. In fact, we show that $LG$-spaces are models for topological spaces as well as frames are models for topologies.
کلیدواژه ها:
نویسندگان
A. Rezai Aliabad
Department of Mathematics, Shahid Chamran
H. Zarepour
Department of Mathematics, Shahid Chamran