A characterization of uncountable sets in terms of their self-mappings and large invariant subsets

DOI10.1515/GMJ-2014-0029zbMATH Open1337.03072OpenAlexW1982069151MaRDI QIDQ3188953

Alexander Kharazishvili

Publication date: 4 September 2014

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2014-0029

zbMATH Keywords

Zorn's lemmainfinite setuncountable setSierpiński's partition

Mathematics Subject Classification ID

Other classical set theory (including functions, relations, and set algebra) (03E20) Ordinal and cardinal numbers (03E10) Axiom of choice and related propositions (03E25)

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