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Trudy Instituta Matematiki, 2007, Volume 15, Number 2, Pages 3–14 (Mi timb92)  
This article is cited in 1 scientific paper (total in 1 paper)

General existence conditions for maximal elements of ordered sets

E. V. Gireiko, V. V. Gorokhovik

Institute of Mathematics of the National Academy of Sciences of Belarus
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Abstract: It is proved that Arkhangelski principle of existence of top-ascending well-ordered chain is equivalent to the statement of Gajek–Zagrodny lemma. Both the criterium of nonemptyness and the criterium of cofinality for the subset of maximal elements of an ordered set are derived on the base of Arkhangelski principle.
Received: 03.09.2007
Document Type: Article
UDC: 517.2
Language: Russian
Citation: E. V. Gireiko, V. V. Gorokhovik, “General existence conditions for maximal elements of ordered sets”, Tr. Inst. Mat., 15:2 (2007), 3–14
Citation in format AMSBIB
\Bibitem{GirGor07}
\by E.~V.~Gireiko, V.~V.~Gorokhovik
\paper General existence conditions for maximal elements of ordered sets
\jour Tr. Inst. Mat.
\yr 2007
\vol 15
\issue 2
\pages 3--14
\mathnet{http://mi.mathnet.ru/timb92}
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    • This publication is cited in the following 1 articles:
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