标题： 四维单连通流形及其推广的环路空间同伦类型 显示英文标题

标题： The Loop Space Homotopy Type of Simply-connected Four-manifolds and their Generalizations

摘要： 我们确定了单连通四流形、$(n-1)$-连通$2n$-维流形在$n\notin\{4,8\}$的情况下以及两个球面乘积的连通和的环路空间分解。这些是某些具有良好行为的骨架和一些庞加莱对偶性质的无扭$CW$-复形的更一般环路空间分解的特例。 显示英文摘要

摘要： We determine loop space decompositions of simply-connected four-manifolds, $(n-1)$-connected $2n$-dimensional manifolds provided $n\notin\{4,8\}$, and connected sums of products of two spheres. These are obtained as special cases of a more general loop space decomposition of certain torsion-free $CW$-complexes with well-behaved skeleta and some Poincar\'{e} duality features.