On minimal Poincar\'{e} $4$-complexes
  We consider two types of minimal Poincar\'e $4$-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 Poincar\'e $4$-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. 
Alberto Cavicchioli, Friedrich Hegenbarth, Du\v{s}an Repov\v{s}
math.GT math.AT