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.
CITATION STYLE
De Bobadilla, J. F., Fresán, J., Muñoz, V., & Murillo, A. (2014). The hilali conjecture for hyperelliptic spaces. In Mathematics Without Boundaries: Surveys in Pure Mathematics (pp. 21–36). Springer New York. https://doi.org/10.1007/978-1-4939-1106-6_2
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