论文标题
关于可允许的$ l $ -subgyRogroups的商
Quotient with respect to admissible $L$-subgyrogroups
论文作者
论文摘要
在没有关联法的情况下，gyrogroup的概念具有较弱的代数结构，在$ c $ ball的背景下引入了相对可允许的速度的背景下，并增加了爱因斯坦的速度。拓扑陀螺仪只是一个具有兼容拓扑结构的陀螺群，因此乘法是共同连续的，并且逆连续。这个概念是对拓扑组的良好概括。 In this paper, we are going to establish that for a locally compact admissible $L$-subgyrogroup $H$ of a strongly topological gyrogroup $G$, the natural quotient mapping $π$ from $G$ onto the quotient space $G/H$ has some nice local properties, such as, local compactness, local pseudocompactness, local paracompactness, etc. Finally, we prove that each locally paracompact strongly拓扑陀螺仪是副群。
The concept of gyrogroups, with a weaker algebraic structure without associative law, was introduced under the background of $c$-ball of relativistically admissible velocities with Einstein velocity addition. A topological gyrogroup is just a gyrogroup endowed with a compatible topology such that the multiplication is jointly continuous and the inverse is continuous. This concept is a good generalization of a topological group. In this paper, we are going to establish that for a locally compact admissible $L$-subgyrogroup $H$ of a strongly topological gyrogroup $G$, the natural quotient mapping $π$ from $G$ onto the quotient space $G/H$ has some nice local properties, such as, local compactness, local pseudocompactness, local paracompactness, etc. Finally, we prove that each locally paracompact strongly topological gyrogroup is paracompact.
