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Matematicheskie Zametki, 1974, Volume 15, Issue 4, Pages 521–526 (Mi mzm7374)  
Sequences of closed sets of bounded variation converging in the deviation metric

V. S. Meilanov

Dagestan Polytechnic Institute
Full-text PDF (435 kB)
Abstract: From an arbitrary convergent sequence of sets of bounded variation we can select a subsequence such that there is convergence in almost every hyperplane.
Received: 03.05.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 4, Pages 305–308
DOI: https://doi.org/10.1007/BF01095118
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. S. Meilanov, “Sequences of closed sets of bounded variation converging in the deviation metric”, Mat. Zametki, 15:4 (1974), 521–526; Math. Notes, 15:4 (1974), 305–308
Citation in format AMSBIB
\Bibitem{Mei74}
\by V.~S.~Meilanov
\paper Sequences of closed sets of bounded variation converging in the deviation metric
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 4
\pages 521--526
\mathnet{http://mi.mathnet.ru/mzm7374}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=361011}
\zmath{https://zbmath.org/?q=an:0304.54006|0295.54011}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 4
\pages 305--308
\crossref{https://doi.org/10.1007/BF01095118}
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