Geodesic
The equivalence of the two definitions of recursive continuity
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 145-159 Cet article a éte moissonné depuis la source Math-Net.Ru

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There are described conditions when recursive sequential continuity of effective operation implies its "$\varepsilon-\delta$"-continuity. 
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     author = {V. P. Orevkov},
     title = {The equivalence of the two definitions of recursive continuity},
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     year = {1971},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a13/}
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V. P. Orevkov. The equivalence of the two definitions of recursive continuity. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 145-159. http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a13/