The classification of differential function germs whose codimention is less than or equal to 5 had been done by topologist r . thom 對于余維小于等于5的可微函數(shù)芽的分類,拓?fù)鋵W(xué)家r thom早就已經(jīng)給出了分類結(jié)果。
As for finite determinacy of smooth function germs , the essential form is finite determinacy ; later , finite ( s ; n ) - deter - minacy and finite 5rr - determinacy were generalized from finite - determinacy 對函數(shù)芽有限決定性的討論最基本的是討論其有限r(nóng) -決定性,后來被人們發(fā)展到有限r(nóng) ( s ; n ) -決定性和有限r(nóng) _ r -決定性情形。
This artical will use the similar way as [ 1 ] by the discussion to many kinds of situations and by the calculation to the codimention of ideal to discuss the classification and of differential function germs whose codimention is more than 5 and less than or equal to 8 本文將使用與論文類似的方法,經(jīng)過對各種情況的討論和理想的余維數(shù)計算,對余維數(shù)大于5小于等于8的可微函數(shù)芽的分類加以討論,并給出證明。