@inproceedings{oai:ynu.repo.nii.ac.jp:00000026,
 author = {Nishimura, Takashi},
 book = {Proceedings of the Centre for Mathematics and its Applications, Australian National University},
 month = {},
 note = {application/pdf, In this short note, we first show (1) if (n, p) lies inside Mather’s nice region then any A-stable multigerm f : (R^n, S)・(R^p, 0) and any C!
unfolding of f are A-simple, and (2) for any (n, p) there exists a non-negative integer i such that for any integer j ((i・j)) there exists an A-stable multigerm f : (R^n・R^j, S ・ {0}) ・ (R^p ・ R^j , (0, 0)) which is not A-simple. Next, 
we obtain a characterization of curves among multigerms of corank at most one from the view point of A-stabie multigerms and A-simple multigerms. It turns out that for any (n, p) such that n < p an asymmetric Cantor set is naturally constructed by using upper bounds for multiplicities of A-stable multigerms and upper bounds for multiplicities of A-simple multigerms, and the desired characterization of curves can be obtained by cardinalities of constructed
asymmetric Cantor sets.},
 pages = {75--81},
 publisher = {Centre for Mathematics and its Applications, Australian National University},
 title = {Stable multigerms, simple multigerms and asymmetric Cantor sets},
 volume = {43},
 year = {2010}
}