Geodesic
A0-sufficiency of jets from R2 to R2
Journal of Singularities, Tome 2 (2010), pp. 19-50

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An r-jet z in Jr(2,2) is A0-sufficient in E[r](2,2) if every Cr realization of z is topologically right-left equivalent to z. We give sufficient conditions for A0-sufficiency in E[r](2,2). For a certain class of jets, we prove that our sufficient conditions are also necessary. Finally, we use the techniques developed in the course of the proofs of these results to give sufficient conditions for a 1-parameter family of Cr plane-to-plane map-germs to be topologically trivial.
DOI : 10.5427/jsing.2010.2b
Classification : 14B05, 58A20(primary), 58A20(secondary) 
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     author = {Hans Brodersen and Olav Skutlaberg},
     title = {A0-sufficiency of jets from {R2} to {R2}},
     journal = {Journal of Singularities},
     pages = {19--50},
     publisher = {mathdoc},
     volume = {2},
     year = {2010},
     doi = {10.5427/jsing.2010.2b},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2010.2b/}
}
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Hans Brodersen; Olav Skutlaberg. A0-sufficiency of jets from R2 to R2. Journal of Singularities, Tome 2 (2010), pp. 19-50. doi: 10.5427/jsing.2010.2b

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