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Classification of Rational Homotopy Type for 8-Cohomological Dimension Elliptic Spaces

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Author(s): Mohamed Rachid Hilal | Hassan Lamane | My Ismail Mamouni

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 02;
Issue: 01;
Start page: 15;
Date: 2012;
Original page

Keywords: Rational Homotopy Theory | Elliptic Spaces | Classification | Rational Homotopy Type | Minimal Model of Sullivan

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.
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