“平行”运输-再谈
"Parallel" transport - revisited
摘要：
纤维丛中关于底空间B中光滑路径的平行输运最近被推广到光滑奇异单纯集Sing_{smooth}（B）的表示。受这些扩展的启发，我重新审视发展的概念“平行”运输的拓扑设置的纤维化同伦提升属性，然后将其扩展到表示的Sing（B）等纤维化。与之密切相关的是同伦作用的概念（强或“无限”），它有各种各样的名称。
英文摘要：
Parallel transport in a fibre bundle with respect to smooth paths in the base space B have recently been extended to representations of the smooth singular simplicial set Sing_{smooth}(B). Inspired by these extensions,I revisit the development of a notion of `parallel' transport in the topological setting of fibrations with the homotopy lifting property and then extend it to representations of Sing(B) on such fibrations. Closely related is the notion of (strong or `infty') homotopy action, which has variants under a variety of names.
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。
