English

E-infinity Cell Models for Free and Based Loop Space Cohomology

Algebraic Topology 2007-05-23 v1

Abstract

We construct E-infinity cell algebra models for the cochain algebras of the free and based loop spaces on a simply-connected topological space. Techniques from rational homotopy theory are exploited throughout.

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Cite

@article{arxiv.math/0306421,
  title  = {E-infinity Cell Models for Free and Based Loop Space Cohomology},
  author = {David Chataur and Jonathan A. Scott},
  journal= {arXiv preprint arXiv:math/0306421},
  year   = {2007}
}

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10 pages