{"paper":{"title":"A generalization of manifolds with corners","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Dominic Joyce","submitted_at":"2015-01-02T13:47:31Z","abstract_excerpt":"In conventional Differential Geometry one studies manifolds, locally modelled on ${\\mathbb R}^n$, manifolds with boundary, locally modelled on $[0,\\infty)\\times{\\mathbb R}^{n-1}$, and manifolds with corners, locally modelled on $[0,\\infty)^k\\times{\\mathbb R}^{n-k}$. They form categories ${\\bf Man}\\subset{\\bf Man^b}\\subset{\\bf Man^c}$. Manifolds with corners $X$ have boundaries $\\partial X$, also manifolds with corners, with $\\mathop{\\rm dim}\\partial X=\\mathop{\\rm dim} X-1$.\n  We introduce a new notion of 'manifolds with generalized corners', or 'manifolds with g-corners', extending manifolds w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00401","kind":"arxiv","version":3},"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"}