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Article . 2021 . Peer-reviewed
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On G-mappings defined by G-methods and G-topological groups

Authors: Jiewen Chen; Jing Zhang;

On G-mappings defined by G-methods and G-topological groups

Abstract

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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