{ "id": "1906.04294", "version": "v1", "published": "2019-06-10T22:06:09.000Z", "updated": "2019-06-10T22:06:09.000Z", "title": "Extensions of immersed surfaces in $\\mathbb{R}^{3}$", "authors": [ "Bojun Zhao" ], "categories": [ "math.GT" ], "abstract": "This paper is to study the $\\mathbb{R}^{3}$ case of \\hyperref[Zhao]{[9]}. We determine all equivalence classes of immersed $3$-manifolds bounded by an arbitrary immersed surface in $\\mathbb{R}^{3}$.", "revisions": [ { "version": "v1", "updated": "2019-06-10T22:06:09.000Z" } ], "analyses": { "keywords": [ "extensions", "arbitrary immersed surface", "equivalence classes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }