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

2008/03/26 by Mohamed Rachid Hilali, Hilali, Mohamed Rachid, My Ismail Mamouni +1
Mathematics · #55N34 #55P62 #57T99 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55N34 #msc:55P62 #msc:57T99

paper · pdf · doi:10.48550/arxiv.0803.3821

4 pages

arxiv created 2008/03/26 · arxiv updated 2009/12/01

Abstract

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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