Title of article :
On minimal Poincare 4-complexes
Author/Authors :
CAVICCHIOLI, ALBERTO University of Modena and Reggio Emilia - Department of Mathematics, Italy , HEGENBARTH, FRIEDRICH University of Milan - Department of Mathematics, Italy , REPOVS, DUSAN University of Ljubljana - Faculty of Mathematics and Physics, Slovenia
Abstract :
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.
Keywords :
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
