{"paper":{"title":"Embeddings of moment-angle manifolds and sequences of Massey products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Ivan Limonchenko, Victor Buchstaber","submitted_at":"2018-08-27T14:03:25Z","abstract_excerpt":"We show that for any face $F$ of a simple polytope $P$ the canonical equivariant homeomorphisms $h_P:\\,\\mathcal Z_P\\to\\mathcal Z_{K_P}$ and $h_F:\\,\\mathcal Z_F\\to\\mathcal Z_{K_F}$ are linked in a pentagonal commutative diagram with the maps of moment-angle manifolds and moment-angle-complexes, induced by a face embedding $i_{F,P}:\\,F\\to P$ and a simplicial embedding $\\Phi_{F,P}:\\,K_F\\to K_{F,P}\\to K_P$, where $K_{F,P}$ is the full subcomplex of $K_P$ on the same vertex set as $\\Phi_{F,P}(K_F)$. We introduce the explicit constructions of the maps $i_{F,P}$, $\\Phi_{F,P}$ and show that a polytope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08851","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"}