{"paper":{"title":"A universal Riemannian foliated space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.DS"],"primary_cat":"math.GT","authors_text":"Alberto Candel, Jes\\'us A. \\'Alvarez L\\'opez, Ram\\'on Barral Lij\\'o","submitted_at":"2014-08-20T19:45:23Z","abstract_excerpt":"It is proved that the isometry classes of pointed connected complete Riemannian $n$-manifolds form a Polish space, $\\mathcal{M}_*^\\infty(n)$, with the topology described by the $C^\\infty$ convergence of manifolds. This space has a canonical partition into sets defined by varying the distinguished point into each manifold. The locally non-periodic manifolds define an open dense subspace $\\mathcal{M}_{*,\\text{lnp}}^\\infty(n)\\subset\\mathcal{M}_*^\\infty(n)$, which becomes a $C^\\infty$ foliated space with the restriction of the canonical partition. Its leaves without holonomy form the subspace $\\ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4779","kind":"arxiv","version":8},"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"}