Stratified Transversality via Time-Dependent Vector Fields |
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| Authors: | Murolo C; Du Plessis A A; Trotman D J A |
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| Institution: | LATP (UMR 6632), Université de Provence 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France murolo{at}gyptis.univ-mrs.fr, trotman{at}gyptis.univ-mrs.fr
Matematisk Institut, Universitet Aarhus Ny Munkegade, 8000 Aarhus C, Denmark matadp{at}imf.au.dk |
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| Abstract: | For  a stratification with suitable regularity, in particularfor any Whitney stratification and, via regular embedding, forany abstract stratified set, time-dependent vector fields areused to prove an extension theorem for diffeomorphisms nearthe identity defined on strata of a given dimension. Then itis shown that after isotopy a stratified map h : Z  can bemade transverse to a fixed stratified map g : y . |
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