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

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DOI: 10.4236/apm.2012.21004    2,783 Downloads   6,252 Views   Citations


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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M. Hilal, H. Lamane and M. Mamouni, "Classification of Rational Homotopy Type for 8-Cohomological Dimension Elliptic Spaces," Advances in Pure Mathematics, Vol. 2 No. 1, 2012, pp. 15-21. doi: 10.4236/apm.2012.21004.


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