Geodesic
Sets of points of degeneracy
Izvestiya. Mathematics , Tome 1 (1967) no. 1, pp. 25-33

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We give some metric estimates of images of sets on which the jacobian matrix has given degeneracy for all intermediate degeneracies. 
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     author = {A. Ya. Dubovitskii},
     title = {Sets of points of degeneracy},
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A. Ya. Dubovitskii. Sets of points of degeneracy. Izvestiya. Mathematics , Tome 1 (1967) no. 1, pp. 25-33. http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a2/