论文标题
完成保留连接的nilpotent空间的同型纤维正方形
Completion preserves homotopy fibre squares of connected nilpotent spaces
论文作者
论文摘要
我们证明，在一组素数上完成的完工可以保留连接的nilpotent空间的同型纤维正方形。结果，我们推断出与连接的nilpotent空间相关的Hasse骨折正方形。在此过程中，我们可以快速证明众所周知的结果，即如果纤维序列的基部具有CW复合物的同型类型，则总空间具有CW复合物的同型IFFF，如果每根纤维都可以。
We prove that completion at a set of primes preserves homotopy fibre squares of connected nilpotent spaces. As a consequence, we deduce the Hasse fracture square associated to a connected nilpotent space. Along the way, we give a quick proof of the well-known result that if the base of a fibre sequence has the homotopy type of a CW complex, then the total space has the homotopy type of a CW complex iff each fibre does.
