Strong Fubini axioms from measure extension axioms

Piotr Zakrzewski

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 2, page 291-297
  • ISSN: 0010-2628

Abstract

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

How to cite

top

Zakrzewski, Piotr. "Strong Fubini axioms from measure extension axioms." Commentationes Mathematicae Universitatis Carolinae 33.2 (1992): 291-297. <http://eudml.org/doc/247400>.

@article{Zakrzewski1992,
abstract = {It is shown that measure extension axioms imply various forms of the Fubini theorem for nonmeasurable sets and functions in Radon measure spaces.},
author = {Zakrzewski, Piotr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Fubini theorem; Product Measure Extension Axiom; Radon measure; cardinal conditions; Fubini theorem; product measure extension axiom; Radon measure spaces},
language = {eng},
number = {2},
pages = {291-297},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Strong Fubini axioms from measure extension axioms},
url = {http://eudml.org/doc/247400},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Zakrzewski, Piotr
TI - Strong Fubini axioms from measure extension axioms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 2
SP - 291
EP - 297
AB - It is shown that measure extension axioms imply various forms of the Fubini theorem for nonmeasurable sets and functions in Radon measure spaces.
LA - eng
KW - Fubini theorem; Product Measure Extension Axiom; Radon measure; cardinal conditions; Fubini theorem; product measure extension axiom; Radon measure spaces
UR - http://eudml.org/doc/247400
ER -

References

top
  1. Carlson T., Extending Lebesgue measure by infinitely many sets, Pac. J. Math. 115 (1984), 33-45. (1984) Zbl0582.28004MR0762199
  2. 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. Zbl0562.54039MR0776635
  3. Freiling C., Axioms of symmetry: throwing darts at the real number line, J. Symbolic Logic 51 (1986), 190-200. (1986) Zbl0619.03035MR0830085
  4. Fremlin D.H., Measure algebras, in: Handbook of Boolean algebras, ed. by J.D. Monk, Elsevier Science Publishers B.V., 1989. Zbl1165.28002MR0991611
  5. Fremlin D.H., Consequences of Martin's Axiom, Cambridge University Press, 1984. Zbl1156.03050
  6. Fremlin D.H., Real-valued-measurable cardinals, to appear. Zbl0839.03038MR1234282
  7. Friedman H., A consistent Fubini-Tonelli theorem for nonmeasurable functions, Illinois J. Math. 24 (1980), 390-395. (1980) Zbl0467.28003MR0573474
  8. Kamburelis A., A new proof of the Gitik-Shelah theorem, Israel J. Math. 72 (1990), 373-380. (1990) Zbl0738.03019MR1120228
  9. Shipman J., Cardinal conditions for strong Fubini theorems, Trans. Amer. Math. Soc. 321 (1990), 465-481. (1990) Zbl0715.03022MR1025758
  10. 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) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.