Classification of the congruence classes of ${\mathbf{A}}_n^5(n\ge 6)$ with 2-torsion free homology

Zhongjian Zhu, Jianzhong Pan

In this paper, we classify the congruence classes of ${\mathbf{F}}_{n(2)}^5$-polyhedra, i.e. $(n-1)$-connected, at most $(n+5)$-dimensional polyhedra with 2-torsion free homology. Th…