In this paper,we classify the congruence classes of Fn(2)5-polyhedra,i.e.,(n-1)-connected,at most(n+5)-dimensional polyhedra with 2-torsion free homology.The proof relies on the matrix problem technique which was deve...In this paper,we classify the congruence classes of Fn(2)5-polyhedra,i.e.,(n-1)-connected,at most(n+5)-dimensional polyhedra with 2-torsion free homology.The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to the homotopy theory by Baues and Drozd(1999).展开更多
基金supported by National Natural Science Foundation of China(Grant No.11701430)supported by National Natural Science Foundation of China(Grant Nos.11661131004 and 11131008)。
文摘In this paper,we classify the congruence classes of Fn(2)5-polyhedra,i.e.,(n-1)-connected,at most(n+5)-dimensional polyhedra with 2-torsion free homology.The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to the homotopy theory by Baues and Drozd(1999).