{"paper":{"title":"Contractible open 3-manifolds which non-trivially cover only non-compact 3-manifolds","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Robert Myers","submitted_at":"1996-06-24T00:00:00Z","abstract_excerpt":"Suppose $M$ is a closed, connected, orientable, \\irr\\ \\3m\\ such that $G=\\pi_1(M)$ is infinite. One consequence of Thurston's geometrization conjecture is that the universal covering space $\\widetilde{M}$ of $M$ must be \\homeo\\ to $\\RRR$. This has been verified directly under several different additional assumptions on $G$. (See, for example, \\cite{2}, \\cite{3}, \\cite{6}, \\cite{19}.)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9606225","kind":"arxiv","version":1},"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"}