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The G-connected property and G-topological groups

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In this paper, we discuss some properties of of G-hull, G-kernel and G-connectedness, and extend some results of [28]. In particular, we prove that the G-connectedness are preserved by countable… Click to show full abstract

In this paper, we discuss some properties of of G-hull, G-kernel and G-connectedness, and extend some results of [28]. In particular, we prove that the G-connectedness are preserved by countable product. Moreover, we introduce the concept of G-topological group, and prove that a G-topological group is a G-topology under the assumption of the regular method preserving the subsequence.

Keywords: topology; connected property; topological groups; property topological

Journal Title: Filomat
Year Published: 2019

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