{"paper":{"title":"Inverse systems with simplicial bonding maps and cell structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"E.D. Tymchatyn, Kazuhiro Kawamura, Murat Tuncal{\\i}, Wojciech D\\k{e}bski","submitted_at":"2019-07-26T12:41:45Z","abstract_excerpt":"For a topologically complete space $X$ and a family of closed covers $\\mathcal A$ of $X$ satisfying a \"local refinement condition\" and a \"completeness condition,\" we give a construction of an inverse system $\\mathbf{ N}_{\\mathcal A}$ of simplicial complexes and simplicial bonding maps such that the limit space $N_{\\infty} = \\varprojlim \\mathbf{N}_{\\mathcal A}$ is homotopy equivalent to $X$. A connection with cell structures [2],[3] is discussed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.11531","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"}