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Title: Rapport entre l'ensemble des ultrafiltres admettant un ultrafiltre donné pour image et l'ensemble des images de cet ultrafiltre (French)
Title: Relation between the set of ultrafilters admitting a given ultrafilter for image and the set of images of that ultrafilter (English)
Author: Daguenet, Maryvonne
Language: French
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 16
Issue: 1
Year: 1975
Pages: 99-113
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Category: math
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MSC: 04A20
MSC: 54A99
MSC: 54C20
MSC: 54D35
MSC: 54D99
idZBL: Zbl 0302.54006
idMR: MR0370502
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Date available: 2008-06-05T20:47:10Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105608
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Reference: [1] A. BLASS: Ordering of Ultrafilters.Thesis, Harvard University, Cambridge, Mass. 1970.
Reference: [2] A. BLASS: The intersection of non standard models of arithmetic.J. Symb. Logic 37 (1971), 103-107. MR 0323560
Reference: [3] A. BLASS: The Rudin Keisler ordering of $p$-points.Trans. Amer. Math. Soc. 179 (1973), 145-167. Zbl 0269.02025, MR 0354350
Reference: [4] D. BOOTH: Ultraflitres on a countable set.Annals of Math. Logic 2 (1970), 1-24. MR 0277371
Reference: [5] G. CHOQUET: Construction d'ultrafiltres sur $N$.Bull. Sci. Math. $2^e$ série 92 (1968), 41-48. Zbl 0157.53101, MR 0234405
Reference: [6] G. CHOQUET: Deux classes remarquables d'ultrafiltres.Bull. Sci. $2^e$ série Math. 92 (1968), 143-153. Zbl 0162.26201, MR 0236860
Reference: [7] L. GILLMAN M. JERISON: Ringe of Continuous Functions.Van Noatrand, Princeton, I960.
Reference: [8] N. HINDMAN: Preimages of points under the natural map from $\beta (N*N)$ to $\beta N* \beta N$.Proc. Amer. Math. Soc. 37 (1973), 603-608. MR 0358695
Reference: [9] A. R. D. MATHIAS: A solution of a problem of Choquet and Puritz.Conférence in Mathematical Logic, London '70/Springer Verlag, Notes Series 255 (1972). MR 0363911
Reference: [10] R. A. PITT: The classification of Ultrafiltres on $N$.Thesis (1971), Leicester.
Reference: [12] W. RUDIN: Homogeneity problems in the theory of Čech compactifications.Duke Math. J. 23 (1956), 409-419, 633. Zbl 0073.39602, MR 0080902
Reference: [13] R. C. SOLOMON: Ultrafilters and Ultraproducts.Thesis.
Reference: [11] C. PURITZ: Skies and Monads in Non-Standard Analysis.Thesis, Glasgow (1969).
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