Geodesic
Uniform Continuity of Generalized Rational Approximations
Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 261-270

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In this paper, it is shown that there are no uniformly continuous multiplicative $\varepsilon$-selections from $C[0,1]$ on the set of generalized rational fractions of sufficiently general form for small $\varepsilon$. 
@article{MZM_2002_71_2_a9,
     author = {C. S. Rjutin},
     title = {Uniform {Continuity} of {Generalized} {Rational} {Approximations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {261--270},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a9/}
}
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C. S. Rjutin. Uniform Continuity of Generalized Rational Approximations. Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 261-270. http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a9/