A graph-theoretical generalization of a Cantor theorem
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- by Siemion Fajtlowicz PDF
- Proc. Amer. Math. Soc. 63 (1977), 177-179 Request permission
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.References
- P. M. Cohn, Universal algebra, Harper & Row, Publishers, New York-London, 1965. MR 0175948
- A. M. Gleason and R. P. Dilworth, A generalized Cantor theorem, Proc. Amer. Math. Soc. 13 (1962), 704–705. MR 144824, DOI 10.1090/S0002-9939-1962-0144824-3
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 177-179
- MSC: Primary 05C20; Secondary 04A05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0432489-3
- MathSciNet review: 0432489