论文标题
简单连接$ 7 $ manifolds
Suspension Splitting and Cohomotopy Sets of Simply Connected $7$-manifolds
论文作者
论文摘要
让$ m $成为一个封闭的简单连接$ 7 $ - manifold。在本文中，我们将减少的悬架空间$σm$ $σm$ $σm$建立在楔形空间中时，当定位在一组素数中时。这些分解用于研究共同体集$π^k（m）$和$ p $ - 局部共同副本集$π^4（m; \ m; \ mathbb {z} _ {（p）}）$。
Let $M$ be a closed simply connected $7$-manifold. In this paper we establish homotopy decompositions of the reduced suspension space $ΣM$ into a wedge sum of simpler spaces when localized at a set of primes. These decompositions are applied to study the cohomotopy sets $π^k(M)$ and the $p$-local cohomotopy sets $π^4(M;\mathbb{Z}_{(p)})$.
