Classification of the congruence classes of An5 (n ⩾ 6) with 2-torsion free homology

In this paper, we classify the congruence classes of F n ( 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 ap...

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Veröffentlicht in:	Science China. Mathematics 2020, Vol.63 (7), p.1409-1428
Hauptverfasser:	Zhu, Zhongjian, Pan, Jianzhong
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Sprache:	eng
Schlagworte:	Applications of Mathematics Classification Homology Homotopy theory Mathematics Mathematics and Statistics Polyhedra
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description	In this paper, we classify the congruence classes of F n ( 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).
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title	Classification of the congruence classes of An5 (n ⩾ 6) with 2-torsion free homology
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