Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808811414001001On continuous functions on LG-topologyOn continuous functions on LG-topology6666781719510.22055/jamm.2021.38159.1952FAMehdiBadieDepartment of Mathematics, Faculty of Basic Science, Jundi-Shapur University of Technology,
Dezful, IranAliShahidikiaDepartment of Mathematics, Faculty of Basic Science, Dezful Branch, Islamic Azad University,
Dezful, IranHosseinKasiriDepartment of Mathematics, Faculty of Basic Science, Jundi-Shapur University of Technology,
Dezful, IranJournal Article14000512In this article, we introduce OLG, CLG and LG maps in the context of LGT-spaces, show that they are generalizations of continuous function on LGT-spaces and some properties of them studied. Also, some generalized notions related to continuous functions as weak topology induced, quotient topology and decomposition topology are introduced and studied and is shown that each decomposition space is an LG-quotient spaceIn this article, we introduce OLG, CLG and LG maps in the context of LGT-spaces, show that they are generalizations of continuous function on LGT-spaces and some properties of them studied. Also, some generalized notions related to continuous functions as weak topology induced, quotient topology and decomposition topology are introduced and studied and is shown that each decomposition space is an LG-quotient spacehttps://jamm.scu.ac.ir/article_17195_3dd651caa741efc5b38a99a20ec9cb25.pdf