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


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.


Rational homotopy theory Sullivan models Elliptic spaces Rational homotopy type 

Mathematics Subject Classification

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



The authors would like to thank all members of the research group Moroccan Area in Algebraic Topology (MAAT) for the beautiful ambiance and atmosphere of work that prevailed within the group. This work is based on several discussions exchanged during their monthly seminar. Finally, we are grateful to our anonymous referee(s) for the suitable advice and assistance during the refereeing process.


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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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