On G-mappings defined by G-methods and G-topological groups
In this note, the concepts of (G1,G2)-open, (G1,G2)-closed, (G1,G2)-quotient and (G1,G2)-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.
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2020 ◽
Vol 9
(7)
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pp. 4917-4922
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2008 ◽
Vol 78
(1)
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pp. 171-176
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1985 ◽
Vol 260
(18)
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pp. 9976-9980
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2005 ◽
Vol 2005
(19)
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pp. 3045-3055
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