TY - JOUR
T1 - On the homotopy type of CW-complexes with aspherical fundamental group
AU - Harlander, J.
AU - Jensen, Jacqueline A.
PY - 2006/9/1
Y1 - 2006/9/1
N2 - 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 n-dimensional groups G for which there exist homotopically distinct (G, n)-complexes on the level χmin (G, n) + 1. In the case where n = 2 these examples are algebraic.
AB - 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 n-dimensional groups G for which there exist homotopically distinct (G, n)-complexes on the level χmin (G, n) + 1. In the case where n = 2 these examples are algebraic.
KW - 2-Dimensional complex
KW - Homotopy-type
KW - Stably-free modules
UR - http://www.scopus.com/inward/record.url?scp=33746703152&partnerID=8YFLogxK
U2 - 10.1016/j.topol.2006.01.007
DO - 10.1016/j.topol.2006.01.007
M3 - Article
AN - SCOPUS:33746703152
SN - 0166-8641
VL - 153
SP - 3000
EP - 3006
JO - Topology and its Applications
JF - Topology and its Applications
IS - 15
ER -