2 problems

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The mod-p^r hyperbolicity amplification of Moore's conjecture
The mod- $p^r$ hyperbolicity conjecture. Let $X$ be a finite simply-connected $CW$ -complex. If $X$ is rationally hyperbolic, then it is mod- $p^r$ hyperbolic for all primes $p$ and p…
Conjectureopenmodular-hyperbolicity rational-homotopy torsion-homotopyarXiv posted 2 days ago
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The conjectured connection between rational and p-torsion homotopy growth
Let $X$ be a space and let $p$ be a prime. Consider the growth of the rational homotopy groups of $X$ and of the $p$ -torsion in its homotopy groups. The rational–p-torsion growth c…
Conjectureopenexponential-growth rational-homotopy torsion-homotopyarXiv posted 2 days ago

The mod-p^r hyperbolicity amplification of Moore's conjecture