Afrika Matematika

, Volume 27, Issue 5–6, pp 851–864 | Cite as

The rational homotopy type of elliptic spaces up to cohomological dimension 8

  • Mohamed Rachid Hilali
  • My Ismail Mamouni
  • Hicham Yamoul
Article
  • 37 Downloads

Abstract

Our goal in this paper is to give a full classification of the rational homotopy type of any elliptic and simply connected space when the sum of its Betti numbers is less or equal than 8.

Keywords

Rational homotopy theory Sullivan models Elliptic spaces Rational homotopy type 

Mathematics Subject Classification

Primary 55P62 55P15 Secondary 55P10 55Q05 55Q52 

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Copyright information

© African Mathematical Union and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Mohamed Rachid Hilali
    • 1
  • My Ismail Mamouni
    • 2
  • Hicham Yamoul
    • 1
  1. 1.Département de Mathématiques et d’InformatiqueFaculté des Sciences Ain ChockMaarif, CasablancaMorocco
  2. 2.Département de Didactique des Mathématiques, Centre de Préparation à l’AgrégationCRMEF RabatRabatMorocco

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