Resumen de Stratified transversality via time-dependent vector fields

C. Murolo, A.A. Du Plessis, D. J. A. Trotman

• For a stratification with suitable regularity, in particular for any Whitney stratification and, via regular embedding, for any abstract stratified set, time-dependent vector fields are used to prove an extension theorem for diffeomorphisms near the identity defined on strata of a given dimension. Then it is shown that after isotopy a stratified map can be made transverse to a fixed stratified map .