同调群拓扑的比较：从子群拓扑视角出发
Comparison of Topologies on Homotopy Groups with Subgroup Topology Viewpoint
Ferdowsi University of Mashhad（马什哈德费尔多西大学）
AI总结：
本文从子群拓扑视角出发，比较不同拓扑结构在同调群上的应用，以揭示拓扑化同调群的相关结果。
摘要：
通过引入各种拓扑于拓扑空间的同调群上，一些研究者使代数拓扑中这些已知概念变得更加有用和强大。在本文中，首先回顾和复习一些已知的同调群拓扑。然后通过回顾一些著名的同调群子群，并利用子群拓扑的概念，我们旨在比较这些拓扑，以呈现一些关于拓扑化同调群的结果。
英文摘要：
By introducing various topologies on the homotopy groups of a topological space, some researchers make these well known notions in algebraic topology more useful and powerful. In this paper, first we recall and review some known topologies on homotopy groups. Then by reviewing some famous subgroups of homotopy groups and using the concept of subgroup topology, we intend to compare these topologies in order to present some results on topologized homotopy groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
