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Rational homotopy -- Sullivan models

Abstract : This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the Vigué-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.
Keywords : rational homotopy
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https://hal.archives-ouvertes.fr/hal-00855797
Contributor : Luc Menichi <>
Submitted on : Friday, August 30, 2013 - 9:52:04 AM
Last modification on : Monday, March 9, 2020 - 6:15:59 PM
Document(s) archivé(s) le : Thursday, April 6, 2017 - 10:43:11 AM

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  • HAL Id : hal-00855797, version 1
  • ARXIV : 1308.6685

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Luc Menichi. Rational homotopy -- Sullivan models. 2013. ⟨hal-00855797⟩

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