A geometric classification of immersions of 3-manifolds into 5-space

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dc.creatorJuhasz, Andras
dc.date2005-06-28
dc.date.accessioned2026-07-07T05:21:12Z
dc.date.available2026-07-07T05:21:12Z
dc.descriptionIn this paper we define two regular homotopy invariants c and i for immersions of oriented 3-manifolds into R^5 in a geometric manner. The pair (c(f),i(f)) completely describes the regular homotopy class of the immersion f. The invariant i corresponds to the 3-dimensional obstruction that arises from Hirsch-Smale theory and extends the one defined in [10] for immersions with trivial normal bundle.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0506567
dc.identifierhttp://arxiv.org/abs/math/0506567
dc.identifiermanuscripta math. 117, 65-83 (2005)
dc.identifierdoi:10.1007/s00229-005-0543-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75602
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57N35; 57R45; 57R42
dc.titleA geometric classification of immersions of 3-manifolds into 5-space
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