JP Journal of Geometry and Topology
Volume 17, Issue 2, Pages 157 - 172
(May 2015)
http://dx.doi.org/10.17654/JPGTMay2015_157_172 |
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ON THE RATIONAL HOMOTOPY TYPE WHEN THE COHOMOLOGICAL DIMENSION IS 9
Mohamed Rachid Hilali, My Ismail Mamouni and Jawad Tarik
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Abstract:
An elliptic space is one whose rational homotopy and rational cohomology are both finite dimensional  -vector spaces. Our main goal in this paper is to give a full classification of the rational homotopy type for all simply connected and elliptic spaces of cohomological dimension equal to 9. |
| Keywords and phrases: rational homotopy theory, Sullivan models, elliptic spaces, rational homotopy type. |
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