{"paper":{"title":"On the higher order exterior and interior Whitehead products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Marek Golasi\\'nski, Thiago de Melo","submitted_at":"2015-08-25T11:58:13Z","abstract_excerpt":"We extend the notion of the exterior Whitehead product for maps $\\alpha_i:\\Sigma A_i \\to X_i$ for $i=1,\\dots,n$, where $\\Sigma A_i$ is the reduced suspension of $A_i$ and then, for the interior product with $X_i=J_{m_i}(X)$ as well. The main result stated in Theorem 3.10 generalizes Theorem 1.10 in K.\\ A.\\ Hardie, \\textit{A generalization of the Hopf construction}, Quart.\\ J.\\ Math.\\ Oxford Ser.\\ (2) \\textbf{12} (1961), 196--204. and concerns to the Hopf invariant of the generalized Hopf construction.\n  We close the paper applying the Gray's construction $\\circ$ (called the Theriault product) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06122","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"}