Stratified transversality via time-dependent vector fields

• Autores: C. Murolo, A.A. Du Plessis, D. J. A. Trotman
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 2, 2005, págs. 516-530
• Idioma: inglés
• DOI: 10.1112/s002461070400612x
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• Resumen

  • 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 .