{"paper":{"title":"Topological classification of sesquilinear forms: reduction to the nonsingular case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.RT","authors_text":"Carlos M. da Fonseca, Tetiana Rybalkina, Vladimir V. Sergeichuk","submitted_at":"2016-04-19T01:53:04Z","abstract_excerpt":"Two sesquilinear forms $\\Phi:\\mathbb C^m\\times\\mathbb C^m\\to \\mathbb C$ and $\\Psi:\\mathbb C^n\\times\\mathbb C^n\\to \\mathbb C$ are called topologically equivalent if there exists a homeomorphism $\\varphi :\\mathbb C^m\\to \\mathbb C^n$ (i.e., a continuous bijection whose inverse is also a continuous bijection) such that $\\Phi(x,y)=\\Psi(\\varphi (x),\\varphi (y))$ for all $x,y\\in \\mathbb C^m$. R.A.Horn and V.V.Sergeichuk in 2006 constructed a regularizing decomposition of a square complex matrix $A$; that is, a direct sum $SAS^*=R\\oplus J_{n_1}\\oplus\\dots\\oplus J_{n_p}$, in which $S$ and $R$ are nonsi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05403","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"}