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Splitting number

Author: 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 ${\operatorname {\mathsf {ZFC}}}$ that every uncountable set can be continuously mapped onto a splitting family.

References [Enhancements On Off] (What's this?)

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Additional Information

Tomek Bartoszynski
Affiliation: Department of Mathematics, Boise State University, Boise, Idaho 83725

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
Article copyright: © Copyright 1997 American Mathematical Society

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