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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 1, Pages 135–150
DOI: https://doi.org/10.1070/IM1981v016n01ABEH001280 (Mi im1665) 		 
An estimate of the measure of the set of planes almost tangent to a compactum with bounded variations

G. Yu. Zaitsev
English version PDF (570 kB)
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DOI: https://doi.org/10.1070/IM1981v016n01ABEH001280
Abstract: It is proved that in a Euclidean space almost all planes intersecting a compactum with finite variations are in general position with respect to it. An example is given showing that the requirement of the boundedness of the corresponding variation is necessary.
Bibliography: 3 titles.
Received: 21.02.1979
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 1, Pages 145–160
Bibliographic databases:
UDC: 517.51
MSC: 28A75, 49F20
Language: English
Original paper language: Russian
Citation: G. Yu. Zaitsev, “An estimate of the measure of the set of planes almost tangent to a compactum with bounded variations”, Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980), 145–160; Math. USSR-Izv., 16:1 (1981), 135–150
Citation in format AMSBIB
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\paper An estimate of the measure of the set of planes almost tangent to a~compactum with bounded variations
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1980
\vol 44
\issue 1
\pages 145--160
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\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 135--150
\crossref{https://doi.org/10.1070/IM1981v016n01ABEH001280}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LP24600007}
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  • https://doi.org/10.1070/IM1981v016n01ABEH001280
  • https://www.mathnet.ru/eng/im/v44/i1/p145
    • Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:256
    Russian version PDF:91
    English version PDF:19
    References:43
    First page:1
     
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