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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A graph-theoretical generalization of a Cantor theorem


Author: Siemion Fajtlowicz
Journal: Proc. Amer. Math. Soc. 63 (1977), 177-179
MSC: Primary 05C20; Secondary 04A05
MathSciNet review: 0432489
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Abstract: In 1962 Gleason and Dilworth found a poset-theoretical generalization of the Cantor Theorem concerning the cardinality of power sets. In the present paper we prove a graph-theoretical generalization of both theorems.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0432489-3
Article copyright: © Copyright 1977 American Mathematical Society