By an -generalized topological space, briefly an -space, we mean the ordered pair in which is a frame and is a subframe of . This notion has been first introduced by A.R. Aliabad and A. Sheykhmiri in [-topology, { Bull. Iran. Math. Soc}., 41 (1), (2015), 239-258]. In this article, we define continuous functions on -spaces and determine conditions under which the continuous image of a compact element of an -space is compact. Moreover, we introduce the concept of connectedness for -spaces and determine conditions under which the continuous image of a connected element of an -space is connected. In fact, we show that -spaces are models for topological spaces as well as frames are models for topologies.
Rezai Aliabad, A. and Zarepour, H. (2021). CONTINUOUS FUNCTIONS ON LG-SPACES. Journal of Algebraic Systems, 8(2), 181-200. doi: 10.22044/jas.2020.9599.1471
MLA
Rezai Aliabad, A. , and Zarepour, H. . "CONTINUOUS FUNCTIONS ON LG-SPACES", Journal of Algebraic Systems, 8, 2, 2021, 181-200. doi: 10.22044/jas.2020.9599.1471
HARVARD
Rezai Aliabad, A., Zarepour, H. (2021). 'CONTINUOUS FUNCTIONS ON LG-SPACES', Journal of Algebraic Systems, 8(2), pp. 181-200. doi: 10.22044/jas.2020.9599.1471
CHICAGO
A. Rezai Aliabad and H. Zarepour, "CONTINUOUS FUNCTIONS ON LG-SPACES," Journal of Algebraic Systems, 8 2 (2021): 181-200, doi: 10.22044/jas.2020.9599.1471
VANCOUVER
Rezai Aliabad, A., Zarepour, H. CONTINUOUS FUNCTIONS ON LG-SPACES. Journal of Algebraic Systems, 2021; 8(2): 181-200. doi: 10.22044/jas.2020.9599.1471
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