{"paper":{"title":"On topological classification of complex mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Hadi Seyedinejad","submitted_at":"2016-12-13T22:45:04Z","abstract_excerpt":"We study the topological invariant $\\phi$ of Kwieci\\'nski and Tworzewski, particularly beyond the case of mappings with smooth targets. We derive a lower bound for $\\phi$ of a general mapping, which is similarly effective as the upper bound given by Kwieci\\'nski and Tworzewski. Some classes of mappings are identified for which the exact value of $\\phi$ can be computed. Also, we prove that the variation of $\\phi$ on the source space of a mapping with a smooth target is semicontinuous in Zariski topology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04422","kind":"arxiv","version":2},"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"}