2007/07/29 by Yoshifumi Ando, R. Bañuelos, T. Kulczycki +1
Mathematics · #Advanced Algebra and Geometry #Bessel function #Class (philosophy) #Combinatorics #Diagonal #Function (biology) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Gravitational singularity #Mathematical analysis #Mathematics #Pure mathematics #math.PR #msc:31B05 #msc:60J45
paper · pdf · doi:10.2140/agt.2008.8.1989
published as Algebr. Geom. Topol. 8 (2008) 1989-2029
arxiv created 2007/07/29 · openalex publication_date 2008/10/28 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Let [math] be a smooth manifold of dimension [math] . We will describe the group of all cobordism classes of smooth maps of [math] –dimensional closed manifolds into [math] with singularities of given class (including all fold singularities if [math] ) in terms of certain stable homotopy groups by applying the homotopy principle on the existence level, which is assumed to hold for those smooth maps. It will enable us to construct an explicit classifying space for this cobordism group in the dimensions [math] and [math] .