The homotopy principle in the existence level for maps with only singularities of types A, D and E

dc.creatorAndo, Yoshifumi
dc.date2004-11-18
dc.date.accessioned2026-07-07T05:14:26Z
dc.date.available2026-07-07T05:14:26Z
dc.descriptionLet N and P be smooth manifolds of dimensions n and p (n \geq p \geq 2) respectively. Let Ω(N,P) denote an open subspace of J^{infty}(N,P) which consists of all regular jets and jets with prescribed singularities of types A_{i}, D_{j} and E_{k}. An Ω-regular map f:N \to P refers to a smooth map having only singularities in Ω(N,P) and satisfy the transversality condition. We will prove the homotopy principle in the existence level for Ω-regular maps.
dc.description32pages
dc.identifierhttps://arxiv.org/abs/math/0411399
dc.identifierhttp://arxiv.org/abs/math/0411399
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73278
dc.subjectGeometric Topology
dc.subject58K30;58K20
dc.titleThe homotopy principle in the existence level for maps with only singularities of types A, D and E
dc.typetext

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