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Splitting number
Author(s):
Tomek
Bartoszynski
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2141-2145.
MSC (1991):
Primary 04A20
MathSciNet review:
1372023
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Abstract:
We show that it is consistent with  that every uncountable set can be continuously mapped onto a splitting family.
References:
- 1.
- Tomek Bartoszynski and Haim Judah, Set Theory: on the structure of the real line, A.K. Peters, 1995. CMP 96:01
- 2.
- James E. Baumgartner and Peter Dordal, Adjoining dominating functions, The Journal of Symbolic Logic 50 (1985), no. 1, 94-101. MR 86i:03064
- 3.
- Jorg Brendle, Haim Judah, and Saharon Shelah, Combinatorial properties of Hechler forcing, Annals of Pure and Applied Logic 59 (1992), 185-199. MR 93k:03048
- 4.
- S. H. Hechler, On the existence of certain cofinal subsets of
 , Axiomatic Set Theory (T. J. Jech, ed.), Proc. Symp. Pure Math., vol. 13, Amer. Math. Soc., Providence, R.I., 1974, Part 2, pp. 155-173. MR 50:12716 - 5.
- Haim Judah and Saharon Shelah, Suslin forcing, The Journal of Symbolic Logic 53 (1988), 1188-1207. MR 90h:03035
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Additional Information:
Tomek
Bartoszynski
Affiliation:
Department of Mathematics, Boise State University, Boise, Idaho 83725
Email:
tomek@math.idbsu.edu
DOI:
10.1090/S0002-9939-97-03758-1
PII:
S 0002-9939(97)03758-1
Keywords:
Splitting family,
cardinal invariants
Received by editor(s):
December 11, 1995
Received by editor(s) in revised form:
January 18, 1996
Additional Notes:
Research partially supported by NSF grant DMS 95-05375
Communicated by:
Andreas R. Blass
Copyright of article:
Copyright
1997,
American Mathematical Society
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