On minimal Poincaré 4-complexes
Authors : Alberto Cavicchioli, Friedrich Hegenbarth, Duşan Repovş
Pages : 535-557
Doi:10.3906/mat-1211-54
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We consider 2 types of minimal Poincaré 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 Poincaré 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.Keywords : Poincaré 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