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Mat. Zametki, 1977, Volume 22, Issue 4, Pages 525–534 (Mi mz8074)  

An arithmetical examples of a non-Borel Luzin analytic set

M. A. Lunina

M. V. Lomonosov Moscow State University

Abstract: N. N. Luzin has constructed a sieve defining a screened non-Borel analytic set and has indicated the arithmetical properties of points of this set. In this article it is shown that a screened analytic set contains continuum number of points which do not have these arithmetical properties. Necessary and sufficient arithmetical conditions on points are found, under which they lie in a Luzin set screened by a sieve.

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English version:
Mathematical Notes, 1977, 22:4, 783–788

Bibliographic databases:

UDC: 517.5
Received: 30.11.1976

Citation: M. A. Lunina, “An arithmetical examples of a non-Borel Luzin analytic set”, Mat. Zametki, 22:4 (1977), 525–534; Math. Notes, 22:4 (1977), 783–788

Citation in format AMSBIB
\Bibitem{Lun77}
\by M.~A.~Lunina
\paper An arithmetical examples of a~non-Borel Luzin analytic set
\jour Mat. Zametki
\yr 1977
\vol 22
\issue 4
\pages 525--534
\mathnet{http://mi.mathnet.ru/mz8074}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=485388}
\zmath{https://zbmath.org/?q=an:0358.28001}
\transl
\jour Math. Notes
\yr 1977
\vol 22
\issue 4
\pages 783--788
\crossref{https://doi.org/10.1007/BF01146424}


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