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arXiv · 2504.09787

Local hyperbolicity, inert maps and Moore's conjecture

Ruizhi Huang
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Abstract

We show that the base space of a homotopy cofibration is locally hyperbolic under various conditions. In particular, if these manifolds admit a rationally elliptic closure, then almost all punctured manifolds and almost all manifolds with rationally spherical boundary are $\mathbb{Z}/p^r$-hyperbolic for almost all primes $p$ and all integers $r \geq 1$, and satisfy Moore's conjecture at sufficiently large primes.

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Ruizhi Huang. 2025-04-14. Local hyperbolicity, inert maps and Moore's conjecture. https://arxiv.org/abs/2504.09787

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