English

On minimal Poincar\'{e} $4$-complexes

Geometric Topology 2014-03-17 v1 Algebraic Topology

Abstract

We consider two types of minimal Poincar\'e 44-complexes. One is defined with respect to the degree 11-map order. This idea was already present in our previous papers, and more systematically studied later by Hillman. The second type of minimal Poincar\'e 44-complexes were introduced by Hambleton, Kreck and Teichner. It is not based on an order relation. In the present paper we study existence and uniqueness.

Cite

@article{arxiv.1403.3631,
  title  = {On minimal Poincar\'{e} $4$-complexes},
  author = {Alberto Cavicchioli and Friedrich Hegenbarth and Dušan Repovš},
  journal= {arXiv preprint arXiv:1403.3631},
  year   = {2014}
}
R2 v1 2026-06-22T03:27:02.892Z