{"paper":{"title":"Certain homotopy properties related to $\\text{map}(\\Sigma^n \\mathbb{C} P^2,S^m)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Jin-ho Lee","submitted_at":"2015-01-14T04:23:51Z","abstract_excerpt":"For given spaces $X$ and $Y$, let $map(X,Y)$ and $map_\\ast(X,Y)$ be the unbased and based mapping spaces from $X$ to $Y$, equipped with compact-open topology respectively. Then let $map(X,Y;f)$ and $map_\\ast(X,Y;g)$ be the path component of $map(X,Y)$ containing $f$ and $map_\\ast(X,Y)$ containing $g$, respectively. In this paper, we compute cohomotopy groups of suspended complex plane $\\pi^{n+m}(\\Sigma^n \\mathbb{C} P^2)$ for $m=6,7$. Using these results, we classify path components of the spaces $map(\\Sigma^n \\mathbb{C} P^2,S^m)$ up to homotopy equivalent. We also determine the generalized Got"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03242","kind":"arxiv","version":2},"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"}