{"paper":{"title":"Topological classification of systems of bilinear and sesquilinear forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Carlos M. da Fonseca, Tetiana Rybalkina, Vladimir V. Sergeichuk, Vyacheslav Futorny","submitted_at":"2016-11-26T15:48:51Z","abstract_excerpt":"Let $\\cal A$ and $\\cal B$ be two systems consisting of the same vector spaces $\\mathbb C^{n_1},\\dots,\\mathbb C^{n_t}$ and bilinear or sesquilinear forms $A_i,B_i:\\mathbb C^{n_{k(i)}}\\times\\mathbb C^{n_{l(i)}}\\to\\mathbb C$, for $i=1,\\dots,s$. We prove that $\\cal A$ is transformed to $\\cal B$ by homeomorphisms within $\\mathbb C^{n_1},\\dots,\\mathbb C^{n_t}$ if and only if $\\cal A$ is transformed to $\\cal B$ by linear bijections within $\\mathbb C^{n_1},\\dots,\\mathbb C^{n_t}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08716","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"}