The problem of Horn and Tarski
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- by Egbert Thümmel PDF
- Proc. Amer. Math. Soc. 142 (2014), 1997-2000 Request permission
Abstract:
In 1948 A. Horn and A. Tarski asked whether the notions of a $\sigma$-finite cc and a $\sigma$-bounded cc ordering are equivalent. We give a negative answer to this question.References
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- Alfred Horn and Alfred Tarski, Measures in Boolean algebras, Trans. Amer. Math. Soc. 64 (1948), 467–497. MR 28922, DOI 10.1090/S0002-9947-1948-0028922-8
- Michel Talagrand, Maharam’s problem, Ann. of Math. (2) 168 (2008), no. 3, 981–1009. MR 2456888, DOI 10.4007/annals.2008.168.981
- Stevo Todorčević, Two examples of Borel partially ordered sets with the countable chain condition, Proc. Amer. Math. Soc. 112 (1991), no. 4, 1125–1128. MR 1069693, DOI 10.1090/S0002-9939-1991-1069693-7
Additional Information
- Egbert Thümmel
- Affiliation: Táborská 680, 251 01 Říčany, Czech Republic
- Email: thuemmel@rzone.cz
- Received by editor(s): June 18, 2012
- Received by editor(s) in revised form: July 25, 2012
- Published electronically: March 14, 2014
- Communicated by: Julia Knight
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 1997-2000
- MSC (2010): Primary 06A06, 06E10
- DOI: https://doi.org/10.1090/S0002-9939-2014-11965-4
- MathSciNet review: 3182018