Volume 9, issue 3 (2009)

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Chains on suspension spectra

Neil P Strickland

Algebraic & Geometric Topology 9 (2009) 1681–1725
Abstract

We define and study a homological version of Sullivan’s rational de Rham complex for simplicial sets. This new functor can be generalised to simplicial symmetric spectra and in that context it has excellent categorical properties which promise to make a number of interesting applications much more straightforward.

Keywords
rational homotopy, de Rham homology
Mathematical Subject Classification 2000
Primary: 55P62
References
Publication
Received: 9 October 2008
Accepted: 4 May 2009
Published: 2 September 2009
Authors
Neil P Strickland
Department of Pure Mathematics
University of Sheffield
Hicks Building
Hounsfield Road
Sheffield S3 7RH
UK