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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(1), Pages 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

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.

UDC: 517.53/54

DOI: 10.18500/1816-9791-2013-13-1-1-26-29



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© Steklov Math. Inst. of RAS, 2025