Minimal atomic complexes

Baker, A.J. and May, J.P. (2004) Minimal atomic complexes. Topology, 43(3), pp. 645-665. (doi:10.1016/

Full text not currently available from Enlighten.

Publisher's URL:


We define minimal atomic complexes and irreducible complexes, and we prove that they are the same. The irreducible complexes admit homological characterizations that make them easy to recognize. These concepts apply both to spaces and to spectra. On the spectrum level, our characterizations allow us to show that such familiar spectra as ko, eo2, and BoP at the prime 2, all BP<n> at any prime p, and the indecomposable wedge summands of Image and Image at any prime p are irreducible and therefore minimal atomic. Up to equivalence, the minimal atomic complexes admit escriptions as CW complexes with restricted attaching maps, called nuclear complexes, and this description can be refined further to nuclear minimal complexes, which are nuclear and have zero differential on their mod p chains. As an illustrative example, we construct BoP as a nuclear complex.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baker, Dr Andrew
Authors: Baker, A.J., and May, J.P.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Topology
Related URLs:

University Staff: Request a correction | Enlighten Editors: Update this record