Topological André-Quillen homology for cellular commutative $S$-algebras

Baker, Andrew; Gilmour, Helen; Reinhard, Philipp

Topological André-Quillen homology for cellular commutative $S$-algebras

Authors

Baker, Andrew

Gilmour, Helen

Reinhard, Philipp

Description

Topological André-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.
Final revision, a version will appear in Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg