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.
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页码：535 / 557
页数：23
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