Generalized Egoroff’s theorem

[1] BARTOSZY´NSKI, T.: Invariants of measure and category, in: Handbook of Set Theory (M. Foreman, A. Kanamori, eds.), Springer-Verlag, Berlin, 2009, pp. 491-555.10.1007/978-1-4020-5764-9_8Search in Google Scholar

[2] BARTOSZY´NSKI, T.-JUDAH, H.: Set Theory. On the Structure of the Real Line. A. K. Peters, Ltd., Wellesley, MA, 1995.Search in Google Scholar

[3] BLASS, A.-MILDENBERGER, H.: On the cofinality of ultrapowers, J. Symbolic Logic 64 (1999), 727-736.10.2307/2586495Search in Google Scholar

[4] BUKOVSK´Y, L.-REC_LAW, I.-REPICK´Y, M.: Spaces not distinguishing pointwise andquasinormal convergence of real functions, Topology Appl. 41 (1991), 25-40.10.1016/0166-8641(91)90098-7Search in Google Scholar

[5] CANJAR, R. M.: Countable ultraproducts without CH, Ann. Pure Appl. Logic 37 (1988), 1-79.10.1016/0168-0072(88)90048-6Search in Google Scholar

[6] FREMLIN, D. H.: Cicho´n’s diagram, Publ. Math. Univ. Pierre Marie Curie 66, Semin. Initiation Anal. 23`eme Ann´ee-1983/84, Exp. No. 5, (1984), 13 p.Search in Google Scholar

[7] JUDAH, H.-MILLER, A. W.-SHELAH, S.: Sacks forcing, Laver forcing, and Martin’saxiom, Arch. Math. Logic 31 (1992), 145-161.10.1007/BF01269943Search in Google Scholar

[8] PINCIROLI, R.: On the independence of a generalized statement of Egoroff’s theoremfrom ZFC after T. Weiss, Real Anal. Exchange 32 (2006-2007), 225-232.10.14321/realanalexch.32.1.0225Search in Google Scholar

[9] SIERPI ´NSKI, W.: Hypoth`ese du Continu, Monografje Matematyczne, Vol. 4, Subwencji Funduszu Kultur. Narodowej. V, Warszawa-Lwow, 1934.Search in Google Scholar

[10] VOJT´A ˇS, P.: Generalized Galois-Tukey connections between explicit relations on classicalobjects of real analysis, in: Set Theory of the Reals (J. Judah, ed.), Israel Math. Conf. Proc., Vol. 6, Ramat Gan, 1991, Bar-Ilan Univ., Ramat Gan, 1993, pp. 619-643.Search in Google Scholar

[11] WEISS, T.: A note on generalized Egorov’s theorem (preprint 2004).Search in Google Scholar