Relation between the set of ultrafilters admitting a given ultrafilter for image and the set of images of that ultrafilter

Maryvonne Daguenet

Commentationes Mathematicae Universitatis Carolinae (1975)

  • Volume: 016, Issue: 1, page 99-113
  • ISSN: 0010-2628

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Daguenet, Maryvonne. "Rapport entre l'ensemble des ultrafiltres admettant un ultrafiltre donné pour image et l'ensemble des images de cet ultrafiltre." Commentationes Mathematicae Universitatis Carolinae 016.1 (1975): 99-113. <http://eudml.org/doc/16672>.

@article{Daguenet1975,
author = {Daguenet, Maryvonne},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {fre},
number = {1},
pages = {99-113},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Rapport entre l'ensemble des ultrafiltres admettant un ultrafiltre donné pour image et l'ensemble des images de cet ultrafiltre},
url = {http://eudml.org/doc/16672},
volume = {016},
year = {1975},
}

TY - JOUR
AU - Daguenet, Maryvonne
TI - Rapport entre l'ensemble des ultrafiltres admettant un ultrafiltre donné pour image et l'ensemble des images de cet ultrafiltre
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1975
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 016
IS - 1
SP - 99
EP - 113
LA - fre
UR - http://eudml.org/doc/16672
ER -

References

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  1. A. BLASS, Ordering of Ultrafilters, Thesis, Harvard University, Cambridge, Mass. 1970. (1970) 
  2. A. BLASS, The intersection of non standard models of arithmetic, J. Symb. Logic 37 (1971), 103-107. (1971) MR0323560
  3. A. BLASS, The Rudin Keisler ordering of p -points, Trans. Amer. Math. Soc. 179 (1973), 145-167. (1973) Zbl0269.02025MR0354350
  4. D. BOOTH, Ultraflitres on a countable set, Annals of Math. Logic 2 (1970), 1-24. (1970) MR0277371
  5. G. CHOQUET, Construction d’ultrafiltres sur N , Bull. Sci. Math. série 92 (1968), 41-48. (1968) Zbl0157.53101MR0234405
  6. G. CHOQUET, Deux classes remarquables d'ultrafiltres, Bull. Sci. série Math. 92 (1968), 143-153. (1968) Zbl0162.26201MR0236860
  7. L. GILLMAN M. JERISON, Ringe of Continuous Functions, Van Noatrand, Princeton, I960. 
  8. N. HINDMAN, Preimages of points under the natural map from β ( N * N ) to β N * β N , Proc. Amer. Math. Soc. 37 (1973), 603-608. (1973) MR0358695
  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). (1972) MR0363911
  10. R. A. PITT, The classification of Ultrafiltres on N , Thesis (1971), Leicester. (1971) 
  11. W. RUDIN, Homogeneity problems in the theory of Čech compactifications, Duke Math. J. 23 (1956), 409-419, 633. (1956) Zbl0073.39602MR0080902
  12. R. C. SOLOMON, Ultrafilters and Ultraproducts, Thesis. 
  13. C. PURITZ, Skies and Monads in Non-Standard Analysis, Thesis, Glasgow (1969). (1969) 

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