TY - JOUR
T1 - A connection between cellularization for groups and spaces via two-complexes
AU - Rodríguez, José L.
AU - Scherer, Jérôme
PY - 2008/7/1
Y1 - 2008/7/1
N2 - Let M denote a two-dimensional Moore space (so H2 (M ; Z) = 0), with fundamental group G. The M-cellular spaces are those one can build from M by using wedges, push-outs, and telescopes (and hence all pointed homotopy colimits). The issue we address here is the characterization of the class of M-cellular spaces by means of algebraic properties derived from the group G. We show that the cellular type of the fundamental group and homological information does not suffice, and one is forced to study a certain universal extension. © 2007 Elsevier Ltd. All rights reserved.
AB - Let M denote a two-dimensional Moore space (so H2 (M ; Z) = 0), with fundamental group G. The M-cellular spaces are those one can build from M by using wedges, push-outs, and telescopes (and hence all pointed homotopy colimits). The issue we address here is the characterization of the class of M-cellular spaces by means of algebraic properties derived from the group G. We show that the cellular type of the fundamental group and homological information does not suffice, and one is forced to study a certain universal extension. © 2007 Elsevier Ltd. All rights reserved.
UR - http://dialnet.unirioja.es/servlet/articulo?codigo=2976081
U2 - 10.1016/j.jpaa.2007.11.002
DO - 10.1016/j.jpaa.2007.11.002
M3 - Article
SN - 0022-4049
VL - 212
SP - 1664
EP - 1673
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 7
ER -