{"paper":{"title":"Generalized Gottlieb and Whitehead center groups of space forms","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":"2017-08-15T22:22:48Z","abstract_excerpt":"We extend the Oprea's result $G_1(\\mathbb{S}^{2n+1}/H)=\\mathcal{Z}H$ to the 1st generalized Gottlieb group $G_1^f(\\mathbb{S}^{2n+1}/H)$ for a map $f\\colon A\\to \\mathbb{S}^{2n+1}/H$. Then, we compute or estimate the groups $G_m^f(\\mathbb{S}^{2n+1}/H)$ and $P_m^f(\\mathbb{S}^{2n+1}/H)$ for some $m>1$ and finite groups $H$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04707","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"}