{"paper":{"title":"Mapping degrees between spherical $3$-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Daciberg Gon\\c{c}alves, Peter Wong, Xuezhi Zhao","submitted_at":"2017-03-13T11:47:34Z","abstract_excerpt":"Let $D(M,N)$ be the set of integers that can be realized as the degree of a map between two closed connected orientable manifolds $M$ and $N$ of the same dimension. For closed $3$-manifolds with $S^3$-geometry $M$ and $N$, every such degree $deg f\\equiv \\overline{deg}\\psi$ $(|\\pi_1(N)|)$ where $0\\le \\overline{deg}\\psi <|\\pi_1(N)|$ and $\\overline{deg}\\psi$ only depends on the induced homomorphism $\\psi=f_{\\pi}$ on the fundamental group. In this paper, we calculate explicitly the set $\\{\\overline{deg}\\psi\\}$ when $\\psi$ is surjective and then we show how to determine $\\overline{deg}(\\psi)$ for a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04345","kind":"arxiv","version":3},"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"}