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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


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.

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Additional Information

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

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
Article copyright: © Copyright 1997 American Mathematical Society

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