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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(1), Pages 26–29
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-26-29 (Mi isu346) 		 
Mathematics

A Countably Connected Domain is not Homeomorphic to an Uncountably Connected Domain

V. V. Starkov

Petrozavodsk State University, Faculty of Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-1-26-29
Abstract: In 1923 Керекьярто proved, that a countably connected domain is not homeomorphic to an uncountaby connected domain. We give another proof of this statement.
Key words: homeomorphism of multy connected domains.
Bibliographic databases:
Document Type: Article
UDC: 517.53/54
Language: Russian
Citation: V. V. Starkov, “A Countably Connected Domain is not Homeomorphic to an Uncountably Connected Domain”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 26–29
Citation in format AMSBIB
\Bibitem{Sta13}
\by V.~V.~Starkov
\paper A Countably Connected Domain is not Homeomorphic to an Uncountably Connected Domain
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(1)
\pages 26--29
\mathnet{http://mi.mathnet.ru/isu346}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-1-26-29}
\elib{https://elibrary.ru/item.asp?id=21976844}
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