论文标题
与壁定理的理论类似物的理论类似物
A Homotopy Theoretic Analogue to a Theorem of Wall
论文作者
论文摘要
这是C.T.C.的众所周知的结果Wall的说法可能会分解一个简单连接的6个manifold，作为两个简单流形的连接总和。 Beben和Theriault在分解高度连接的庞加莱二元组合的基于分解的循环空间方面产生了新的方法来分析歧管的同型理论。在本文中，我们将扩展这些方法，然后将其应用于墙定理的较高维度同质理论类似物。
It is a well-known result of C.T.C. Wall's that one may decompose a simply connected 6-manifold as a connected sum of two simpler manifolds. Recent work of Beben and Theriault on decomposing based loop spaces of highly connected Poincaré Duality complexes has yielded new methods for analysing the homotopy theory of manifolds. In this paper we will expand upon these methods, which we will then apply to prove a higher dimensional homotopy theoretic analogue to Wall's Theorem.
