On minimal Poincare 4-complexes

被引：5

作者：

Cavicchioli, Alberto ^{[1
]}

Hegenbarth, Friedrich ^{[2
]}

Repovs, Dusan ^{[3
]}

机构：

[1] Univ Modena & Reggio Emilia, Dept Math, Modena, Italy

[2] Univ Milan, Dept Math, Milan, Italy

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia

来源：

TURKISH JOURNAL OF MATHEMATICS | 2014年 / 38卷 / 03期

关键词：

Poincare; 4-complex; equivariant intersection form; degree; 1-map; k-invariant; homotopy type; obstruction; theory; homology with local coefficients; Whitehead's quadratic functor; Whitehead's exact sequence; TOPOLOGICAL; 4-MANIFOLDS; FUNDAMENTAL-GROUPS;

D O I：

10.3906/mat-1211-54

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider 2 types of minimal Poincare 4-complexes. One is defined with respect to the degree 1-map order. This idea was already present in our previous papers, and more systematically studied later by Hillman. The second type of minimal Poincare 4-complexes was introduced by Hambleton, Kreck, and Teichner. It is not based on an order relation. In the present paper we study existence and uniqueness questions.

引用

页码：535 / 557

页数：23

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