Topological Andre-Quillen homology for cellular commutative S-algebras

Baker, A. , Gilmour, H. and Reinhard, P. (2008) Topological Andre-Quillen homology for cellular commutative S-algebras. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 78(1), pp. 27-50. (doi: 10.1007/s12188-008-0005-9)

Abstract

Topological Andre-Quillen homology for commutative S-algebras was introduced by Basterra following work of Kriz, and has been intensively studied by several authors. In this paper we discuss it as a homology theory on CW S-algebras and apply it to obtain results on minimal atomic p-local S-algebras which generalise those of Baker and May for p-local spectra and simply connected spaces. We exhibit some new examples of minimal atomic S-algebras.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Baker, Dr Andrew
• Authors: Baker, A., Gilmour, H., and Reinhard, P.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
• ISSN: 0025-5858
• ISSN (Online): 1865-8784
• Published Online: 07 August 2008