Geodesic
On G-mappings defined by G-methods and G-topological groups
Filomat, Tome 35 (2021) no. 7, p. 2245

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DOI

In this note, the concepts of (G 1 , G 2)-open, (G 1 , G 2)-closed, (G 1 , G 2)-quotient and (G 1 , G 2)–perfect mappings on arbitrary sets are introduced and some theorems on them are established firstly. In particular, some results improve the corresponding results in [17]. Secondly, we give a partial answer to the question posed by L. Liu [14]. Finally, some properties of G-topological groups, G-connectedness and totally G-disconnectedness in G-topological groups are discussed
DOI : 10.2298/FIL2107245C
Classification : 54A20, 54C08, 40A05, 40J05, 40C99
Keywords: G-closed mappings, G-open mappings, G-quotient mappings, G-topological groups. G-connectedness 
Jiewen Chen; Jing Zhang. On G-mappings defined by G-methods and G-topological groups. Filomat, Tome 35 (2021) no. 7, p. 2245 . doi: 10.2298/FIL2107245C
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     author = {Jiewen Chen and Jing Zhang},
     title = {On {G-mappings} defined by {G-methods} and {G-topological} groups},
     journal = {Filomat},
     pages = {2245 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107245C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107245C/}
}
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