Abstract
The first author conjectured in 1990 (see [18]) that for any simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of its rational cohomology. Our main purpose in this paper is to investigate the following: does the Hilali conjecture holds for the configuration spaces of a rationally elliptic and simply connected topological space when it already holds for the space itself. We will prove that this statement is true for closed manifolds.
Citation
Mohamed Rachid Hilali. My Ismail Mamouni. Hicham Yamoul. "On the Hilali Conjecture for Configuration Spaces of Closed Manifolds." Afr. Diaspora J. Math. (N.S.) 18 (1) 1 - 11, 2015.
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