Partial orders on the types in $\beta N$
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- by Mary Ellen Rudin PDF
- Trans. Amer. Math. Soc. 155 (1971), 353-362 Request permission
Abstract:
Three partial orders on the types of points in $\beta N$ are defined and studied in this paper. Their relation to the types of points in $\beta N - N$ is also described.References
- Walter Rudin, Homogeneity problems in the theory of Čech compactifications, Duke Math. J. 23 (1956), 409–419. MR 80902
- Zdeněk Frolík, Sums of ultrafilters, Bull. Amer. Math. Soc. 73 (1967), 87–91. MR 203676, DOI 10.1090/S0002-9904-1967-11653-7 D. Booth, Ph.D. Thesis, University of Wisconsin, Madison, Wis., 1969.
- Mary Ellen Rudin, Types of ultrafilters, Topology Seminar (Wisconsin, 1965) Ann. of Math. Studies, No. 60, Princeton Univ. Press, Princeton, N.J., 1966, pp. 147–151. MR 0216451 K. Kunen, On the compactification of the integers, Notices Amer. Math. Soc. 17 (1970), 299. Abstract #70T-G7.
- C. C. Chang and H. J. Keisler, Model theory, Studies in Logic and the Foundations of Mathematics, Vol. 73, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. MR 0409165
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 155 (1971), 353-362
- MSC: Primary 54.56
- DOI: https://doi.org/10.1090/S0002-9947-1971-0273581-5
- MathSciNet review: 0273581