Some applications of strong Lusin sets

Jan Brzuchowski; Jacek Cichoń; Bogdan Weglorz

Compositio Mathematica (1981)

  • Volume: 43, Issue: 2, page 217-224
  • ISSN: 0010-437X

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Brzuchowski, Jan, Cichoń, Jacek, and Weglorz, Bogdan. "Some applications of strong Lusin sets." Compositio Mathematica 43.2 (1981): 217-224. <http://eudml.org/doc/89497>.

@article{Brzuchowski1981,
author = {Brzuchowski, Jan, Cichoń, Jacek, Weglorz, Bogdan},
journal = {Compositio Mathematica},
keywords = {sigma-field; sigma-ideal; partition; selector; strong Lusin set},
language = {eng},
number = {2},
pages = {217-224},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Some applications of strong Lusin sets},
url = {http://eudml.org/doc/89497},
volume = {43},
year = {1981},
}

TY - JOUR
AU - Brzuchowski, Jan
AU - Cichoń, Jacek
AU - Weglorz, Bogdan
TI - Some applications of strong Lusin sets
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 2
SP - 217
EP - 224
LA - eng
KW - sigma-field; sigma-ideal; partition; selector; strong Lusin set
UR - http://eudml.org/doc/89497
ER -

References

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  1. [1] J.E. Baumgartner, A.D. Taylor and S. Wagon: Structural properties of ideals. Dissertationes Mathematicae (in print). Zbl0549.03036
  2. [2] L. Bukovsky: Random forcing, Set Theory and Hierarchy Theory V, Bierutowice, Poland 1976, in Lecture Notes in Mathematics, Springer-Verlag, Berlin-Heidelberg -New York, 619, (1977) 101-117. Zbl0381.03036MR485358
  3. [3] G. Fodor: Eine Bemerkung zur Theorie der regressive Funktionen. Acta. Sci. Math.(Szeged), 17 (1956) 139-142. Zbl0072.04302MR82450
  4. [4] E. Grzegorek and B. Węglorz: Extensions of filters and fields of sets (I). J. Austral. Math. Soc.25 (Series A) (1978) 275-290. Zbl0411.04006MR491195
  5. [5] E. Hewitt and K. Ross: Abstract Harmonic Analysis, Springer-Verlag, Berlin-New York, 1970. Zbl0213.40103MR262773
  6. [6] T.G. Mclaughlin: Martin's Axiom and some classical constructions. Bulletin of the Australian Mathematical Society, 12 (1975) 351-362. Zbl0297.28003MR422028
  7. [7] R. Sikorski: Boolean Algebras, Springer-Verlag, Berlin-Heidelberg-New York (1969). Zbl0123.01303MR242724
  8. [8] W. Sierpiński: Hypotese du Continuum. Monografie Matematyczne, Vol. 4, Warszawa-Lwów (1934). Zbl0009.30201JFM60.0035.01
  9. [9] W. Sierpiński: Sur la decomposition des ensembles en sousensembles presque disjoint. Mathematica, Claj, 14 (1938) 15-17. Zbl0021.01404JFM64.0036.02
  10. [10] R.M. Solovay: Real-valued measurable cardinals. Axiomatic Set Theory (A.M.S. Providence, R.I.) (1971) 397-428. Zbl0222.02078MR290961
  11. [11] B. Węglorz: Some properties of filters, Set Theory and Hierarchy Theory V, Bierutowice, Poland 1976, in Lecture Notes in Mathematics, Springer-Verlag, Berlin-Heidelberg-New York, 619 (1977) 311-328. Zbl0371.02022MR485397
  12. [12] B. Węglorz: Invariant ideals and fields of subsets of abstract algebras, Proceedings of the Klagenfurt Conference, Verlag Johannes Heyn, Klagenfurt1978. Zbl0407.08003MR537434

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