The Hilali Conjecture for hyperelliptic spaces
classification
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keywords
conjectureelliptichilalihyperellipticrationalspacesclassdimension
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The Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of the rational homology. Here we give a proof of this conjecture for a class of elliptic spaces known as hyperelliptic.
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