Skew products of ideals

• Autorzy: Fremlin D. H.
• Języki publikacji: EN

Abstrakty

EN

I investigate an asymmetric product construction for σ-ideals of σ-algebras of sets, corresponding to one-sided Fubini and Kuratowski-Ulam theorems, examining the cellularities of these products.

Słowa kluczowe

EN

skew product; product ideal; measurable space

PL

produkt nachylenia; produkt idealny; przestrzenie mierzalne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2003
• Tom: Vol. 9, nr 1
• Strony: 1--18
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Fremlin D. H.

• University of Essex Colchester, England,

Bibliografia

• [1] Choquet, G., Lectures on Analysis, Vol. I., V. A. Benjamin, Inc., New YorkAmsterdam, 1969.
• [2] Engelking, R., General Topology, Sigma Ser. Pure Math. 6, Heldermann-Verlag, Berlin, 1989.
• [3] Fremlin, D. H., Consequences of Martin’s Axiom, Cambridge Tracts in Math. 84, Cambridge Univ. Press, Cambridge, 1984.
• [4] Fremlin, D. H. Measure-additive Coverings and Measurable Selectors, Dissertationes Math. 260 (1987).
• [5] Fremlin, D. H., Real-valued-measurable cardinals, pp. 151-304 in [13].
• [6] Fremlin, D. H., Measure Theory, Vol. 1: The Irreducible Minimum, Torres Fremlin, Colchester, 2000.
• [7] Fremlin, D. H., Measure Theory, Vol. 2: Broad Foundations, Torres Fremlin, Colchester, 2001.
• [8] Fremlin, D. H., Measure Theory, Vol. 3: Measure Algebras, Torres Fremlin, Colchester, 2002.
• [9] Fremlin, D. H., Measure Theory, Vol. J,: Topological Measure Theory, Torres Fremlin, Colchester, (to appear). (Drafts available via http://w w w .essex.ac.uk/m aths/staff/frem lin/m t.htm)
• [10] Galvin, F., Chain conditions and products, Fund. Math. 108 (1980), 33-48.
• [11] Gavalec, M., Iterated products of ideals of Borel sets, Colloq. Math. 50 (1985), 39-52.
• [12] Gitik, M., Shelah, S., Forcings with ideals and simple forcing notions, Israel J. Math. 68 (1989), 129-160.
• [13] Judah, H. (ed.), Set theory of the reals (Proceedings of the Winter Institute held at Bar-Ilan University, Ramat Gan, January 1991), Israel Math. Conf. Proc. 6 (1993), Bar-Ilan Univ., Ramat Gan.
• [14] Juhász, I., Cardinal Functions in Topology, Math. Centre Tracts 34, Mathematisch Centrum, Amsterdam, 1971.
• [15] Just, W., Weese, M., Discovering Modem Set Theory II, Grad. Stud. Math. 18, Amer. Math. Soc., Providence, RI, 1997.
• [16] Kechris, A. S., Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, New York, 1995.
• [17] Koppelberg S., General Theory of Boolean Algebras, Vol. 1 of [19].
• [18] Martin, D. A., Solovay, R. M., Internal Cohen extensions, Ann. Math. Logic 2 (1970), 143-178.
• [19] Monk, J. D. (ed.), Handbook of Boolean Algebra, North-Holland Publishing, Amsterdam, 1989.
• [20] Reclaw, I., On cardinal invariants for ccc cr-ideals, Proc. Amer. Math. Soc. 126 (1998), 1173-1175.
• [21] Scott, D. S., (ed.) Axiomatic Set Theory, Proc. Sympos. Pure Math., Vol. X III, Part 1, Amer. Math. Soc., Providence, RI, 1971.
• [22] Solovay, R. M., Real-valued measurable cardinals, pp. 397-428 in [21].