TITLE:
Classification of Rational Homotopy Type for 8-Cohomological Dimension Elliptic Spaces
AUTHORS:
Mohamed Rachid Hilal, Hassan Lamane, My Ismail Mamouni
KEYWORDS:
Rational Homotopy Theory; Elliptic Spaces; Classification; Rational Homotopy Type; Minimal Model of Sullivan
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.1,
January
6,
2012
ABSTRACT: The different methods used to classify rational homotopy types of manifolds are in general fascinating and various (see [1,7,8]). In this paper we are interested to a particular case, that of simply connected elliptic spaces, denoted X, by discussing its cohomological dimension. Here we will the discuss the case when dimH*( Χ ;Q)=8 and χ(Χ)=0.