Geodesic
Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out Certain Sizes of The Underlying Index Set
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 501-504

Voir la notice de l'article provenant de la source Cambridge University Press

Using the method of non-well-founded generic ultra-powers, we shall prove a generalization of a theorem of Taylor that certain values of completeness and saturatedness of a uniform ideal rule out certain sizes of the underlying index set.
DOI : 10.4153/CMB-1985-063-3
Mots-clés : 04A20, 03C90, 03E40 
Franek, Frantisek. Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out Certain Sizes of The Underlying Index Set. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 501-504. doi: 10.4153/CMB-1985-063-3
@article{10_4153_CMB_1985_063_3,
     author = {Franek, Frantisek},
     title = {Certain {Values} of {Completeness} and {Saturatedness} of a {Uniform} {Ideal} {Rule} out {Certain} {Sizes} of {The} {Underlying} {Index} {Set}},
     journal = {Canadian mathematical bulletin},
     pages = {501--504},
     year = {1985},
     volume = {28},
     number = {4},
     doi = {10.4153/CMB-1985-063-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-063-3/}
}
TY  - JOUR
AU  - Franek, Frantisek
TI  - Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out Certain Sizes of The Underlying Index Set
JO  - Canadian mathematical bulletin
PY  - 1985
SP  - 501
EP  - 504
VL  - 28
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-063-3/
DO  - 10.4153/CMB-1985-063-3
ID  - 10_4153_CMB_1985_063_3
ER  - 
%0 Journal Article
%A Franek, Frantisek
%T Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out Certain Sizes of The Underlying Index Set
%J Canadian mathematical bulletin
%D 1985
%P 501-504
%V 28
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-063-3/
%R 10.4153/CMB-1985-063-3
%F 10_4153_CMB_1985_063_3

[1] 1. Franek, F., Some results about saturated ideals and about isomorphisms of ĸ-trees, Ph.D. thesis, University of Toronto, 1983. Google Scholar

[2] 2. Jech, T., Set Theory, Academic Press, 1978. Google Scholar

[3] 3. Jech, T. and Prikry, K., Ideals over uncountable sets: applications of almost disjoint functions and generic ultrapowers, Mem. Amer. Math. Soc. 18 (1979), no. 214. Google Scholar

[4] 4. Solovay, R.M., Real-valued measurable cardinals, Axiomatic Set Theory (Proc. Sympos. Pure Math., Vol. XIII, Part I, Univ. California, Los Angeles, California, 1967), pp. 397–428. Google Scholar

[5] 5. Silver, J., On the singular cardinals problem, Proceedings of the International Congress of Mathematicians (Vancouver, BC, 1974), Vol. I, pp. 265–268. Google Scholar

[6] 6. Ulam, S., Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. 16 (1930). Google Scholar

Cité par Sources :