论文标题
比特学动力学系统中的同位选择原理
Homotopical selection principles in bitopological dynamical systems
论文作者
论文摘要
同型介绍了两个拓扑空间之间连续图的连续变形的直观概念。在本文中,我们在比特波动力学系统中介绍了同位选择原理。在这里,我们定义$ btds- $ shomotopy,$ btds- $迭代同型和$ btds- $ path同型,然后使用这些概念,我们定义了各种选择属性。 H-Rothberger物业,H-Menger物业,PH-Rothberger物业,PH-Menger物业及其版本较弱。我们还讨论了在比特波学动力系统中连接这些概念的几个结果。
Homotopy deals with the intuitive idea of continuous deformation of a continuous map between two topological spaces. In this paper, we introduce homotopical selection principles in bitopological dynamical systems. Here, we define $BTDS-$homotopy, $BTDS-$iteration homotopy and $BTDS-$path homotopy, and then using these notions we define various selection properties viz. H-Rothberger property, H-Menger property, PH-Rothberger property, PH-Menger property and their weaker versions. We also discuss several results connecting these concepts in bitopological dynamical systems.