Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 4, Pages 42–46 (Mi vmumm640)  
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Union of $U_r$-sets for the system of characters of the group of $p$-adic numbers

T. D. Kozlovskaya

Moscow State Technological University "Stankin"
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Abstract: The following theorem is proved: the union of countable many closed $U_{r}$-sets ($r>2$) for the Vilenkin–Dzhafarli system is again a $U_{r}$-set for this system.
Key words: group of $p$-adic intergers, zero-dimensional group, characters of a group, Vilenkin–Dzhafarli system, $U_r$-sets.
Received: 27.06.2018
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: T. D. Kozlovskaya, “Union of $U_r$-sets for the system of characters of the group of $p$-adic numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 4, 42–46
Citation in format AMSBIB
\Bibitem{Koz19}
\by T.~D.~Kozlovskaya
\paper Union of $U_r$-sets for the system of characters of the group of $p$-adic numbers
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2019
\issue 4
\pages 42--46
\mathnet{http://mi.mathnet.ru/vmumm640}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4002420}
\zmath{https://zbmath.org/?q=an:07153897}
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