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 |
. |
Category:
|
math |
. |
MSC:
|
04A20 |
MSC:
|
54A99 |
MSC:
|
54C20 |
MSC:
|
54D35 |
MSC:
|
54D99 |
idZBL:
|
Zbl 0302.54006 |
idMR:
|
MR0370502 |
. |
Date available:
|
2008-06-05T20:47:10Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105608 |
. |
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). |
. |