A proof of van Douwen’s right ideal theorem
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- by Dennis E. Davenport and Neil Hindman PDF
- Proc. Amer. Math. Soc. 113 (1991), 573-580 Request permission
Abstract:
In 1979 Eric K. van Douwen announced a powerful theorem about the Stone-Čech compactification of a discrete semigroup which he called The Right Ideal Theorem. Its proof, however, was lost with his untimely death. In this paper we present a proof of the theorem and a derivation of some of its corollaries.References
- W. W. Comfort and S. Negrepontis, The theory of ultrafilters, Die Grundlehren der mathematischen Wissenschaften, Band 211, Springer-Verlag, New York-Heidelberg, 1974. MR 0396267, DOI 10.1007/978-3-642-65780-1
- Eric K. van Douwen, The Čech-Stone compactification of a discrete groupoid, Topology Appl. 39 (1991), no. 1, 43–60. MR 1103990, DOI 10.1016/0166-8641(91)90074-V
- Neil Hindman, The ideal structure of the space of $\kappa$-uniform ultrafilters on a discrete semigroup, Rocky Mountain J. Math. 16 (1986), no. 4, 685–701. MR 871030, DOI 10.1216/RMJ-1986-16-4-685
- Neil Hindman, Ultrafilters and combinatorial number theory, Number theory, Carbondale 1979 (Proc. Southern Illinois Conf., Southern Illinois Univ., Carbondale, Ill., 1979) Lecture Notes in Math., vol. 751, Springer, Berlin, 1979, pp. 119–184. MR 564927
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 573-580
- MSC: Primary 54D35; Secondary 22A30, 54H11
- DOI: https://doi.org/10.1090/S0002-9939-1991-1057952-3
- MathSciNet review: 1057952