arXiv subjects

My Ismail Mamouni

Publications and source records attributed to My Ismail Mamouni.

2 recordsLinked to original sources

arXiv2008

A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases

Here we prove some special cases of the following conjecture: that the sum of the Betti numbers of a 1-connected elliptic space is greater than the total rank of its homotopy groups. Our main tool is Sullivan's minimal model.

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arXiv2007

The conjecture H: A lower bound of cohomologic dimension for an elliptic space

The goal of this paper is to ameliorate the sufficients conditions, already established by the first author so that the sum of the numbers of Betti, of 1-connected rational finite CW-complex, is higher than the dimension of his $\mathbb Q$-vectorial space of homotopy, we will present it in two aspects, one algebraic and another geometrical.

math.AT↗