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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 407, Pages 17–34 (Mi znsl5484)  
On some continuity theorem for constructive functions

A. A. Vladimirov

Dorodnitsyn Computing Center, Moscow, Russia
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Abstract: One proves that any everywhere defined constructive mapping from a compact metric space into a complete metric space which preserves the property of precompacity of subsets is uniformly continuous.
Key words and phrases: constructive metric space, compacity, Hausdorff metric, uniform continuity.
Received: 16.04.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 1, Pages 6–15
DOI: https://doi.org/10.1007/s10958-014-1828-9
Bibliographic databases:
Document Type: Article
UDC: 510.25
Language: Russian
Citation: A. A. Vladimirov, “On some continuity theorem for constructive functions”, Studies in constructive mathematics and mathematical logic. Part XII, Zap. Nauchn. Sem. POMI, 407, POMI, St. Petersburg, 2012, 17–34; J. Math. Sci. (N. Y.), 199:1 (2014), 6–15
Citation in format AMSBIB
\Bibitem{Vla12}
\by A.~A.~Vladimirov
\paper On some continuity theorem for constructive functions
\inbook Studies in constructive mathematics and mathematical logic. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 407
\pages 17--34
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5484}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032182}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 1
\pages 6--15
\crossref{https://doi.org/10.1007/s10958-014-1828-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902261729}
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