{"paper":{"title":"On the image of the almost strict Morse n-category under almost strict n-functors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.DS"],"primary_cat":"math.CT","authors_text":"Sonja Hohloch","submitted_at":"2017-03-30T20:51:17Z","abstract_excerpt":"In an earlier work, we constructed the almost strict Morse $n$-category $\\mathcal X$ which extends Cohen $\\&$ Jones $\\&$ Segal's flow category. In this article, we define two other almost strict $n$-categories $\\mathcal V$ and $\\mathcal W$ where $\\mathcal V$ is based on homomorphisms between real vector spaces and $\\mathcal W$ consists of tuples of positive integers. The Morse index and the dimension of the Morse moduli spaces give rise to almost strict $n$-category functors $\\mathcal F : \\mathcal X \\to \\mathcal V$ and $\\mathcal G : \\mathcal X \\to \\mathcal W$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10671","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"}