Local hyperbolicity, inert maps and Moore's conjecture
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912802242822144 |
|---|---|
| author | Huang, Ruizhi |
| author_facet | Huang, Ruizhi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local hyperbolicity, inert maps and Moore's conjecture Huang, Ruizhi Algebraic Topology Geometric Topology 55Q52, 55P62, 55P35, 55P40 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. |
| title | Local hyperbolicity, inert maps and Moore's conjecture |
| topic | Algebraic Topology Geometric Topology 55Q52, 55P62, 55P35, 55P40 |
| url | https://arxiv.org/abs/2504.09787 |