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arXiv · 2210.00607

Verifying the Hilali conjecture up to formal dimension twenty

Spencer Cattalani·Aleksandar Milivojević
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Abstract

We prove that in formal dimension $\leq 20$ the Hilali conjecture holds, i.e. that the total dimension of the rational homology bounds from above the total dimension of the rational homotopy for a simply connected rationally elliptic space.

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Spencer Cattalani, Aleksandar Milivojević. 2022-10-02. Verifying the Hilali conjecture up to formal dimension twenty. https://arxiv.org/abs/2210.00607

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