On cardinal invariants for CCC $\sigma$-ideals
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- by Ireneusz Recław PDF
- Proc. Amer. Math. Soc. 126 (1998), 1173-1175 Request permission
Abstract:
We show several results about cardinal invariants for $\sigma$-ideals of the reals. In particular we show that for every CCC $\sigma$-ideal on the real line $p \le \operatorname {cof}(J)$.References
- R. H. Bing, W. W. Bledsoe, and R. D. Mauldin, Sets generated by rectangles, Pacific J. Math. 51 (1974), 27–36. MR 357124, DOI 10.2140/pjm.1974.51.27
- Eric K. van Douwen, The integers and topology, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 111–167. MR 776622
- F. Galvin, J. Mycielski, R.M. Solovay, Strong measure zero sets, Notices of AMS, 26, no. 3 (1979), A-280.
- Alexander S. Kechris, Classical descriptive set theory, Graduate Texts in Mathematics, vol. 156, Springer-Verlag, New York, 1995. MR 1321597, DOI 10.1007/978-1-4612-4190-4
- D. A. Martin and R. M. Solovay, Internal Cohen extensions, Ann. Math. Logic 2 (1970), no. 2, 143–178. MR 270904, DOI 10.1016/0003-4843(70)90009-4
- Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201–233. MR 776624
Additional Information
- Ireneusz Recław
- Affiliation: Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
- Email: matir@halina.univ.gda.pl
- Received by editor(s): March 3, 1995
- Received by editor(s) in revised form: September 16, 1996
- Additional Notes: The author was supported by the Alexander von Humboldt Foundation when he was visiting FU Berlin
- Communicated by: Andreas R. Blass
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1173-1175
- MSC (1991): Primary 04A20; Secondary 03E35
- DOI: https://doi.org/10.1090/S0002-9939-98-04140-9
- MathSciNet review: 1423332