Geodesic
Stability of systems of generators of the algebra $C$ on manifolds
Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 493-498.

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Some problems in approximation theory are investigated. The stability is proved of a concrete system of generators of the algebra $C$ on a ball, with respect to small (in the $C^2$ norm) disturbances. An analogous result is proved for manifolds of the class $C^\infty$ without boundaries and an arbitrary system of generators satisfying certain conditions. 
@article{MZM_1970_8_4_a8,
     author = {A. A. Preobrazhenskii},
     title = {Stability of systems of generators of the algebra $C$ on manifolds},
     journal = {Matemati\v{c}eskie zametki},
     pages = {493--498},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/}
}
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A. A. Preobrazhenskii. Stability of systems of generators of the algebra $C$ on manifolds. Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 493-498. http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/