On some new ideals on the Cantor and Baire spaces
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- by Jacek Cichoń and Jan Kraszewski PDF
- Proc. Amer. Math. Soc. 126 (1998), 1549-1555 Request permission
Abstract:
We define and investigate some new ideals of subsets of the Cantor space and the Baire space. We show that combinatorial properties of these ideals can be described by the splitting and reaping cardinal numbers. We show that there exist perfect Luzin sets for these ideals on the Baire space.References
- Jacek Cichoń, On two-cardinal properties of ideals, Trans. Amer. Math. Soc. 314 (1989), no. 2, 693–708. MR 1005527, DOI 10.1090/S0002-9947-1989-1005527-X
- Cichoń J., Kharazishvili A.B., On ideals with projective bases, 1995 (to appear).
- Eric K. van Douwen, The integers and topology, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 111–167. MR 776622
Additional Information
- Jacek Cichoń
- Affiliation: Department of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-156 Wrocław, Poland
- Email: cichon@math.uni.wroc.pl
- Jan Kraszewski
- Affiliation: Department of Mathematics, University of Wrocław, pl. Grunwaldzki 2/4, 50-156 Wrocław, Poland
- Email: kraszew@math.uni.wroc.pl
- Received by editor(s): December 18, 1995
- Received by editor(s) in revised form: October 16, 1996
- Additional Notes: Research of the second author supported by a grant 2149/W/IM/96 from the University of Wrocław.
- Communicated by: Andreas R. Blass
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1549-1555
- MSC (1991): Primary 04A20, \, 28A05
- DOI: https://doi.org/10.1090/S0002-9939-98-04378-0
- MathSciNet review: 1452798