{"paper":{"title":"Sequence-covering maps on generalized metric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Fucai Lin, Shou Lin","submitted_at":"2011-06-20T05:17:16Z","abstract_excerpt":"Let $f:X\\rightarrow Y$ be a map. $f$ is a {\\it sequence-covering map}\\cite{Si1} if whenever $\\{y_{n}\\}$ is a convergent sequence in $Y$ there is a convergent sequence $\\{x_{n}\\}$ in $X$ with each $x_{n}\\in f^{-1}(y_{n})$; $f$ is an {\\it 1-sequence-covering map}\\cite{Ls2} if for each $y\\in Y$ there is $x\\in f^{-1}(y)$ such that whenever $\\{y_{n}\\}$ is a sequence converging to $y$ in $Y$ there is a sequence $\\{x_{n}\\}$ converging to $x$ in $X$ with each $x_{n}\\in f^{-1}(y_{n})$. In this paper, we mainly discuss the sequence-covering maps on generalized metric spaces, and give an affirmative answ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3806","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"}