Title of article :
A lower bound of cohomologic dimension for an elliptic space
Author/Authors :
Hilali، نويسنده , , Mohamed Rachid and Mamouni، نويسنده , , My Ismail، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2008
Abstract :
Our goal in this paper is to prove that, under appropriate hypotheses, the sum of the Betti numbers of a 1-connected elliptic space is greater or equal to the dimension of its Q vector space of homotopy. The paper concludes with some examples for which the inequality is strict.
Keywords :
Cosymplectic manifolds , Symplectic manifolds , Nilmanifolds , Rational homotopy theory , Cohomology , Sullivan minimal model , Elliptic spaces , Pure spaces , H-spaces , Toral rank , Hyperelliptic spaces
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications