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

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
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Classification
Homology
Homotopy theory
Mathematics
Mathematics and Statistics
Polyhedra
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Zusammenfassung: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).
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-018-9413-y