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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 60, Pages 194–196 (Mi znsl2078)  
Continuity of operators in separable constructive metric spaces

S. V. Pakhomov
Full-text PDF (175 kB)
Abstract: We construct an everywhere defined continuous operator on a separable CMS having the following property: it is not possible to cover the domain of this operator by denumerably many balls such that the oscillation of the operator in each ball of the covering is less than 1.
English version:
Journal of Soviet Mathematics, 1980, Volume 14, Issue 5, Pages 1554–1556
DOI: https://doi.org/10.1007/BF01693986
Bibliographic databases:
UDC: 518.5
Language: Russian
Citation: S. V. Pakhomov, “Continuity of operators in separable constructive metric spaces”, Studies in constructive mathematics and mathematical logic. Part VII, Zap. Nauchn. Sem. LOMI, 60, "Nauka", Leningrad. Otdel., Leningrad, 1976, 194–196; J. Soviet Math., 14:5 (1980), 1554–1556
Citation in format AMSBIB
\Bibitem{Pak76}
\by S.~V.~Pakhomov
\paper Continuity of operators in separable constructive metric spaces
\inbook Studies in constructive mathematics and mathematical logic. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 60
\pages 194--196
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2078}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=505353}
\zmath{https://zbmath.org/?q=an:0449.03064|0338.02017}
\transl
\jour J. Soviet Math.
\yr 1980
\vol 14
\issue 5
\pages 1554--1556
\crossref{https://doi.org/10.1007/BF01693986}
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