ON THE HOMOTOPY OF FINITE CW-COMPLEXES WITH POLYCYCLIC FUNDAMENTAL GROUP

被引：0

作者：

Damian, Mihai ^{[1
]}

机构：

[1] Univ Strasbourg, IRMA, F-67084 Strasbourg, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 04期

关键词：

Novikov homology; closed; 1-forms; CW-complexes; homotopy groups; WHITEHEAD TORSION; OBSTRUCTION; CIRCLE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a finite connected CW-complex of dimension q. If its fundamental group pi(1), (X) is polycyclic of Hirsch number h > q, we show that at least one homotopy group pi(i)(X) is not finitely generated. If h = q or h = q - 1 the same conclusion holds unless X is an Eilenberg-Mac Lane space K(pi(1) (X), 1).

引用

页码：1791 / 1809

页数：19

共 37 条

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