论文标题
“不仅是一个闲置游戏” :(研究同型理论中的一些历史概念论点）
"Not just an idle game":(examining some historical conceptual arguments in homotopy theory)
论文作者
论文摘要
本文标题的一部分是从爱因斯坦的著作中获取的，爱因斯坦的著作认为，我们需要行使分析熟悉概念的能力，以证明其理由和有用性取决于的条件以及这些条件的发展方式，而这些条件很少$ \ ldots $。 My aim is to do this for the initial negative reactions to the seminar by E. Cech on higher homotopy groups to the ICM meeting in Z\" urich in 1932; then the subsequent work of Hurewicz, the use of groupoids and so the use of many base points, and how J.H.C. Whitehead's use of free crossed modules gave rise to a successful search for higher dimensional versions of the fundamental group and of the theorem of Van坎ampen。
Part of the title of this article is taken from writings of Einstein, which argue that we need to exercise our ability to analyse familiar concepts, to demonstrate the conditions on which their justification and usefulness depend, and the way in which these developed, little by little $\ldots$. My aim is to do this for the initial negative reactions to the seminar by E. Cech on higher homotopy groups to the ICM meeting in Z\" urich in 1932; then the subsequent work of Hurewicz, the use of groupoids and so the use of many base points, and how J.H.C. Whitehead's use of free crossed modules gave rise to a successful search for higher dimensional versions of the fundamental group and of the theorem of Van Kampen.
