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arXiv · 1911.12935

The $G$-connected property and $G$-topological groups

Yongxing Wu·Fucai Lin
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Abstract

In this paper, we discuss some properties of of $G$-hull, $G$-kernel and $G$-connectedness, and extend some results of \cite{life34}. 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.

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Yongxing Wu, Fucai Lin. 2019-11-29. The $G$-connected property and $G$-topological groups. https://arxiv.org/abs/1911.12935

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