Chains on suspension spectra

Strickland, Neil P

doi:10.2140/agt.2009.9.1681

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Chains on suspension spectra

Neil P Strickland

Algebraic & Geometric Topology 9 (2009) 1681–1725

DOI: 10.2140/agt.2009.9.1681

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

Volume 9, issue 3 (2009)