For citation:
Старков В. В. A Countably Connected Domain is not Homeomorphic to an Uncountably Connected Domain. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 1, pp. 26-29. DOI: 10.18500/1816-9791-2013-13-1-1-26-29, EDN: SMXXGH
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
15.02.2013
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Language:
Russian
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UDC:
517.53/54
EDN:
SMXXGH
A Countably Connected Domain is not Homeomorphic to an Uncountably Connected Domain
Autors:
Старков Виктор Васильевич, Petrozavodsk State University, Russia
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:
References:
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Received:
20.08.2012
Accepted:
05.01.2013
Published:
15.02.2013
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