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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 5, Pages 63–66 (Mi smj834)  
An uncountable family of disjoint spatial continua in Euclidean space

V. K. Ionin, Yu. G. Nikonorov
Full-text PDF (420 kB)
Abstract: The authors construct an example of an uncountable family of disjoint continua in the Euclidean plane each of which cannot be covered by any 1-dimensional manifold. Analogous examples can be constructed in Euclidean spaces of higher dimensions.
Received: 08.02.1993
English version:
Siberian Mathematical Journal, 1993, Volume 34, Issue 5, Pages 848–851
DOI: https://doi.org/10.1007/BF00971401
Bibliographic databases:
UDC: 514.74
Language: Russian
Citation: V. K. Ionin, Yu. G. Nikonorov, “An uncountable family of disjoint spatial continua in Euclidean space”, Sibirsk. Mat. Zh., 34:5 (1993), 63–66; Siberian Math. J., 34:5 (1993), 848–851
Citation in format AMSBIB
\Bibitem{IonNik93}
\by V.~K.~Ionin, Yu.~G.~Nikonorov
\paper An uncountable family of disjoint spatial continua in Euclidean space
\jour Sibirsk. Mat. Zh.
\yr 1993
\vol 34
\issue 5
\pages 63--66
\mathnet{http://mi.mathnet.ru/smj834}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255462}
\zmath{https://zbmath.org/?q=an:0877.54030}
\transl
\jour Siberian Math. J.
\yr 1993
\vol 34
\issue 5
\pages 848--851
\crossref{https://doi.org/10.1007/BF00971401}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MG83400007}
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    		Сибирский математический журнал Siberian Mathematical Journal
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