Popaths和Holinks
Popaths and Holinks
摘要：
在分层空间的研究中，研究后路径空间（从较低层到较高层的路径）和霍林克斯空间（那些后路径空间立即离开较低层到达其最终层目的地）是有用的。对于相邻的层，这两个道路空间是否同伦等价，这一点并不清楚，更不清楚的是，这种等价可以用一种有用的方式来构造（通过变形后的后路径空间，它固定了起点和终点，并且后路径立即成为holink的成员）。这样一个等价的优点是，它允许一个分层空间被分类地看待，因为后路径，不像holink路径（更容易研究），可以组成。本文在Quinn同伦分层空间的情形下证明了上述等价性。
英文摘要：
In the study of stratified spaces it is useful to examine spaces of popaths (paths which travel from lower strata to higher strata) and holinks (those spaces of popaths which immediately leave a lower stratum for their final stratum destination). It is not immediately clear that for adjacent strata these two path spaces are homotopically equivalent, and even less clear that this equivalence can be constructed in a useful way (with a deformation of the space of popaths which fixes start and end points and where popaths instantly become members of the holink). The advantage of such an equivalence is that it allows a stratified space to be viewed categorically because popaths, unlike holink paths (which are easier to study), can be composed. This paper proves the aforementioned equivalence in the case of Quinn's homotopically stratified spaces.
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。
