RT Generic T1 Topología diferencial: aproximación y homotopía A1 Rojo Carulli, Juan Ángel AB In this paper we deal with aproximation and homotopy of continuous and proper continuous mappings whose target is a manifold with boundary. That requires a careful examination of the construction of collars in manifolds with boundary, which will enable us to find diferentiable pseudoretracts onto the boundary. On the other hand, to use the aproximation and homotopy results known for boundaryless manifols, we will embed any given manifold with boundary into a boundaryless manifold of the same dimension in the same ambient space. YR 2013 FD 2013-07 LK https://hdl.handle.net/20.500.14352/37089 UL https://hdl.handle.net/20.500.14352/37089 LA spa DS Docta Complutense RD 10 abr 2025