{"paper":{"title":"Some examples of dynamically defined ambient homogeneous wild knots in higher dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Alberto Verjovsky, Gabriela Hinojosa","submitted_at":"2013-04-05T05:28:21Z","abstract_excerpt":"In this paper we consider the Kleinian groups acting conformally on the sphere $\\mathbb{S}^{n+2}$ $(1\\leq{n}\\leq5)$ which have as limit sets wild spheres $K^n$ which were constructed in \\cite{BHV} and prove that $K^n$ is ambient homogeneous. In other words, given two points $p,\\,\\,q\\in{K}$ there exists a homeomorphism $\\psi:\\mathbb{S}^{n+2}\\rightarrow\\mathbb{S}^{n+2} $ such that $\\psi(K)=K$ and $\\psi(p)=q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1614","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}