Complete lattices and the generalized Cantor theorem
HTML articles powered by AMS MathViewer
- by Roy O. Davies, Allan Hayes and George Rousseau PDF
- Proc. Amer. Math. Soc. 27 (1971), 253-258 Request permission
Abstract:
Cantor’s Theorem is generalized to a theorem on partially ordered sets.References
- Anne C. Davis, A characterization of complete lattices, Pacific J. Math. 5 (1955), 311–319. MR 74377
- 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 W. Sierpiński, Sur un problème concernant les sous-ensembles croissants du continu, Fund. Math. 3 (1922), 109-112.
- Alfred Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285–309. MR 74376
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 253-258
- MSC: Primary 06.30
- DOI: https://doi.org/10.1090/S0002-9939-1971-0268091-0
- MathSciNet review: 0268091