On the Homotopy Type of CW-Complexes with Aspherical Fundamental Group

@inproceedings{Harlander2006OnTH,
title={On the Homotopy Type of CW-Complexes with Aspherical Fundamental Group},
author={Jens Harlander and Jacqueline A. Jensen},
year={2006}
}

This paper is concerned with the homotopy type distinction of finite CW-complexes. A (G,n)-complex is a finite n-dimensional CW-complex with fundamental-group G and vanishing higher homotopy-groups up to dimension n − 1. In case G is an n-dimensional group there is a unique (up to homotopy) (G,n)-complex on the minimal Euler-characteristic level χmin(G,n). For every n we give examples of ndimensional groups G for which there exist homotopically distinct (G,n)-complexes on the level χmin(G,n… CONTINUE READING