I teoremi di assolutezza in teoria degli insiemi: prima parte
Andretta, Alessandro
Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003), p. 57-84 / Harvested from Biblioteca Digitale Italiana di Matematica

Questa è la prima parte di una articolo espositivo dedicato ai teoremi di assolutezza, un argomento che sta assumendo un’importanza via via più grande in teoria degli insiemi. In questa prima parte vedremo come le questioni di teoria dei numeri non siano influenzate da assunzioni insiemistiche quali l’assioma di scelta o l’ipotesi del continuo.

Publié le : 2003-04-01
@article{BUMI_2003_8_6A_1_57_0,
     author = {Alessandro Andretta},
     title = {I teoremi di assolutezza in teoria degli insiemi: prima parte},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {6-A},
     year = {2003},
     pages = {57-84},
     zbl = {1194.03040},
     mrnumber = {1982348},
     language = {it},
     url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6A_1_57_0}
}
Andretta, Alessandro. I teoremi di assolutezza in teoria degli insiemi: prima parte. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 57-84. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6A_1_57_0/

[Ba] Baumgartner, J., Applications of the proper forcing axiom, in Handbook of Set Theoretic Topology, a cura di K. Kunen and Jerry E. Vaughan, North-Holland, Amsterdam (1984), vii+1273. | MR 776640 | Zbl 0556.03040

[BHR] Becker, J. - Henson, C. W. - Rubel, L., First order conformal invariants, Annals of Mathematics, 112(1980), 123-178. | MR 584077 | Zbl 0459.03019

[Bl] Blass, A., Near coherence of filters. II. Applications to operator ideals, the Stone-Čech remainder of a half-line, order ideals of sequences, and slenderness of groups, Transactions of the American Mathematical Society, 300(1987), 557-581. | MR 876466 | Zbl 0647.03043

[BlW] Blass, A. - Weiss, G., A characterization and sum decomposition for operator ideals, Transactions of the American Mathematical Society, 246 (1978), 407-417. | MR 515547 | Zbl 0414.47017

[BPS] Brown, A. - Pearcy, C. - Salinas, N., Ideals of compact operators on Hilbert space, Michigan Mathematical Journal, 18(1971), 373-384. | MR 291819 | Zbl 0225.46066

[DW] Dales, H. - Woodin, W. H., An Introduction to Independence for Analysts, Cambridge University Press, Cambridge (1987), xiv+241. | MR 942216 | Zbl 0629.03030

[DM] Dellacherie, C. - Meyer, P.-A., Probabilities and Potential, North-Holland, Amsterdam (1978), viii+189. | MR 521810 | Zbl 0494.60001

[EM] Eklof, P.- Mekler, A., Almost Free Modules. Set-theoretic Methods, North-Holland, Amsterdam (1990), xvi+481. | MR 1055083 | Zbl 1054.20037

[Fo] Folland, G., Real Analysis. Modern Techniques and their Applications, John Wiley and Sons, Inc., New York (1999), xvi+386. | MR 1681462 | Zbl 0549.28001

[G] Goldstern, M., An application of Shoenfield’s absoluteness theorem to the theory of uniform distribution, Monatshefte für Mathematik, 116 (1993), 237-243. | MR 1253684 | Zbl 0811.11053

[J] Jech, T., Set Theory, Academic Press, New York-London (1978), xi+621. | MR 506523 | Zbl 0419.03028

[Ka] Kanamori, A., The Higher Infinite, Springer-Verlag, Berlin (1994), xxiv+536. | MR 1321144 | Zbl 0813.03034

[Ke] Kechris, A. S., Classical Descriptive Set Theory, Springer-Verlag, New York (1995), xviii+402. | MR 1321597 | Zbl 0819.04002

[Ku] Kunen, K., Set Theory. An Introduction to Independence Proofs, North-Holland Publishing Co., Amsterdam (1983), xvi+313. | MR 756630 | Zbl 0443.03021

[LR] Lempert, L.- Rubel, L., An independence result in several complex variables, Proceedings of the American Mathematical Society, 113(1991), 1055-1065. | MR 1052577 | Zbl 0737.03027

[M] Moore, G., Zermelo’s Axiom of Choice. Its Origins, Development and Influence, Springer-Verlag, New York (1982), xiv+410. | MR 679315 | Zbl 0497.01005

[S] Shelah, S., Lifting problem of the measure algebra, Israel Journal of Mathematics, 45(1983), 90-96. | MR 710248 | Zbl 0549.03041

[T] Todorĉević, S., Compact subsets of the first Baire class, The Journal of the American Mathematical Society, 12(1999), 1179-1212. | MR 1685782 | Zbl 0938.26004

[Wa] Wagon, S., The Banach-Tarski Paradox, Cambridge University Press, Cambridge (1985), xvi+251. | MR 803509 | Zbl 0569.43001