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

2007/12/21 by Mohamed Rachid Hilali, Hilali, Mohamed Rachid, My Ismail Mamouni +1
Mathematics · #55N34 #55P62 #57T99 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55N34 #msc:55P62 #msc:57T99

paper · pdf · doi:10.48550/arxiv.0712.3784

18 pages; Work exposed by the second author in the Algebraic topology conference of Angers, France, October 2007

openalex publication_date 2007/12/21 · arxiv created 2007/12/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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