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Title: Ultrafilter with $\aleph_0$ predecessors in Rudin-Frolík order (English)
Author: Bukovský, Lev
Author: Butkovičová, Eva
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 22
Issue: 3
Year: 1981
Pages: 429-447
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Category: math
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MSC: 03E05
MSC: 04A20
MSC: 54A25
idZBL: Zbl 0495.54003
idMR: MR633575
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Date available: 2008-06-05T21:08:41Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106088
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Reference: [1] J. E. BAUMGARTNER R. LAVER: Iterated perfect set forcing.preprint. MR 0556894
Reference: [2] D. BOOTH: Ultrafilters on a countable set.Ann. Math. Logic, 2 (1970), 1-24. Zbl 0231.02067, MR 0277371
Reference: [3] W. W. COMFORT S. NEGREPONTIS: The theory of ultrafilters.Springer Verlag 1974. MR 0396267
Reference: [4] Z. FROLÍlK: Sums of ultrafilters.Bull. Amer. Math. Soc. 73 (1967), 87-91. MR 0203676
Reference: [5] K. KUNEN: Ultrafilters and independent sets.Trans. Amer. Math. Soc. 172 (1972), 299-306. MR 0314619
Reference: [6] K. KUNEN: Weak $P$-points in $\mathbf{N}^*$.preprint. MR 0588822
Reference: [7] A. LOUVEAU: Ultrafiltres sur $\mathbf{N}$, et derivation séquentielle.Bull. Sci. Math. 96 (1972), 353-382. MR 0348695
Reference: [8] D. A. MARTIN R. M. SOLOVAY: Internal Cohen extensitns.Ann. Math. Logic 2 (1970), 143-178. MR 0270904
Reference: [9] B. POSPÍŠIL: On bicompact spaces.Publ. Fac. Sci. Univ. Masaryk, 270 (1939), 3-16. MR 0001454
Reference: [10] M. E. RUDIN: Partial orders on the types in $\beta N$.Trans. Amer. Math. Soc. 155 (1971), 353-362. Zbl 0212.54901, MR 0273581
Reference: [11] M. E. RUDIN: Lectures on set theoretic topology.CMBS regional conference Series, No. 23, Providence 1975. Zbl 0318.54001, MR 0367886
Reference: [12] R. C. SOLOMON: A type of $\beta N$ with $\aleph \sb{0}$ relative types.Fund. Math. 79 (1973), 209-212. MR 0319748
Reference: [13] A. K. STEINER E. F. STEINER: Relative types of points in $\beta N- N$.Trans. Amer. Math. Soc. 159 (1971), 279-286. MR 0336708
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