{"paper":{"title":"Tame discrete subsets in Stein manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Joerg Winkelmann","submitted_at":"2017-08-09T12:17:16Z","abstract_excerpt":"For discrete subsets in ${\\bf C}^n$ the notion of being \"tame\" was defined by Rosay and Rudin. We propose a general definition of \"tameness\" for arbitrary complex manifolds and show that many results classically known for ${\\bf C}^n$ may be generalized to semisimple complex Lie groups. For example, every permutation of $SL(2,{\\bf Z})$ extends to a biholomorphic self-map of $SL(2,{\\bf C}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02802","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"}