{"paper":{"title":"Degrees of maps between locally symmetric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Arghya Mondal, Parameswaran Sankaran","submitted_at":"2015-03-24T07:38:10Z","abstract_excerpt":"Let $X$ be a locally symmetric space $\\Gamma\\backslash G/K$ where $G$ is a connected non-compact semisimple real Lie group with trivial centre, $K$ is a maximal compact subgroup of $G$, and $\\Gamma\\subset G$ is a torsion-free irreducible lattice in $G$. Let $Y=\\Lambda\\backslash H/L$ be another such space having the same dimension as $X$. Suppose that real rank of $G$ is at least $2$. We show that any $f:X\\to Y$ is either null-homotopic or is homotopic to a covering projection of degree an integer that depends only on $\\Gamma$ and $\\Lambda$. As a corollary we obtain that the set $[X,Y]$ of homo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06935","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"}