Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1211-54
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
First Page
535
Last Page
557
Recommended Citation
CAVICCHIOLI, A, HEGENBARTH, F, & REPOVS, D (2014). On minimal Poincaré 4-complexes. Turkish Journal of Mathematics 38 (3): 535-557. https://doi.org/10.3906/mat-1211-54
