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Classification of Rational Homotopy Type for 8-Cohomological Dimension Elliptic Spaces
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Advances in Pure Mathematics·Volume 02 (2012)·Pages 15–21·Published 6 January 2012·DOI10.4236/apm.2012.21004
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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 dim H* ( Χ ;Q)=8 and χ( Χ )=0.
KeywordsRational Homotopy TheoryElliptic SpacesClassificationRational Homotopy TypeMinimal Model of Sullivan
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