Strong Fubini axioms from measure extension axioms
Zakrzewski, Piotr
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 291-297 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

It is shown that measure extension axioms imply various forms of the Fubini theorem for nonmeasurable sets and functions in Radon measure spaces.

Publié le : 1992-01-01
Classification:  03E05,  03E35,  03E65,  28A35,  28C05,  28C15 
@article{118496,
     author = {Piotr Zakrzewski},
     title = {Strong Fubini axioms from measure extension axioms},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {291-297},
     zbl = {0765.03026},
     mrnumber = {1189659},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118496}
}

Zakrzewski, Piotr. Strong Fubini axioms from measure extension axioms. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 291-297. http://gdmltest.u-ga.fr/item/118496/

Carlson T. Extending Lebesgue measure by infinitely many sets, Pac. J. Math. 115 (1984), 33-45. (1984) | MR 0762199 | Zbl 0582.28004

Fleissner W.G. The normal Moore space conjecture, in: Handbook of set-theoretic topology, ed. by K. Kunen and J.E. Vaughan, North-Holland, 1984. | MR 0776635 | Zbl 0562.54039

Freiling C. Axioms of symmetry: throwing darts at the real number line, J. Symbolic Logic 51 (1986), 190-200. (1986) | MR 0830085 | Zbl 0619.03035

Fremlin D.H. Measure algebras, in: Handbook of Boolean algebras, ed. by J.D. Monk, Elsevier Science Publishers B.V., 1989. | MR 0991611 | Zbl 1165.28002

Fremlin D.H. Consequences of Martin's Axiom, Cambridge University Press, 1984. | Zbl 1156.03050

Fremlin D.H. Real-valued-measurable cardinals, to appear. | MR 1234282 | Zbl 0839.03038

Friedman H. A consistent Fubini-Tonelli theorem for nonmeasurable functions, Illinois J. Math. 24 (1980), 390-395. (1980) | MR 0573474 | Zbl 0467.28003

Kamburelis A. A new proof of the Gitik-Shelah theorem, Israel J. Math. 72 (1990), 373-380. (1990) | MR 1120228 | Zbl 0738.03019

Shipman J. Cardinal conditions for strong Fubini theorems, Trans. Amer. Math. Soc. 321 (1990), 465-481. (1990) | MR 1025758 | Zbl 0715.03022

Zakrzewski P. Strong Fubini theorems from measure extension axioms, an abstract of the talk given at the 15th Summer Symposium in Real Analysis, Real Analysis Exchange 17 (1991-92), 65-66. (1991-92)