论文标题
关于布雷登的技巧：从本地到全球属性
On Bredon's trick: from local to global properties
论文作者
论文摘要
在拓扑空间，尤其是在差异歧管上研究某些结构时，出现的最有趣的问题之一是能够扩展到局部对整个空间有效的属性。一个有用的工具可能被低估了，是G. Bredon引入的引理，我们称之为Bredon的技巧，可以将局部特性扩展到某些拓扑空间。我们对此结果进行了回顾，并在De Rham的共同体中显示了它的应用，我们将看到此技巧如何允许自然替代演示为经典结果提供，并且在其他情况下，例如在分层的伪模型中的基础。
One of the most interesting problems that arise when studying certain structures on topological spaces and in particular on differential manifolds, is to be able to extend the properties that are valid locally to the whole space. A useful tool, which has perhaps been underestimated, is a lemma introduced by G. Bredon, which we refer to as Bredon's trick and which allows the extension of local properties to certain topological spaces. We make a review of this result and show its application in the context of De Rham's cohomology, we will see how this trick allows to give natural alternative demonstrations to classic results, as well as it is fundamental in other cases such as in stratified pseudo-manifolds.
