The problem of Horn and Tarski
Author:
Egbert Thümmel
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
Published electronically:
March 14, 2014
MathSciNet review:
3182018
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Abstract | References | Similar Articles | Additional Information
Abstract: In 1948 A. Horn and A. Tarski asked whether the notions of a 
-finite cc and a 
-bounded cc ordering are equivalent. We give a negative answer to this question.
- [BPT]
B. Balcar, T. Pazák, and E. Thümmel.
On Todorčević orderings.
In preparation. - [HT48] Alfred Horn and Alfred Tarski, Measures in Boolean algebras, Trans. Amer. Math. Soc. 64 (1948), 467–497. MR 28922, https://doi.org/10.1090/S0002-9947-1948-0028922-8
- [Tal08] Michel Talagrand, Maharam’s problem, Ann. of Math. (2) 168 (2008), no. 3, 981–1009. MR 2456888, https://doi.org/10.4007/annals.2008.168.981
- [Tod91] 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, https://doi.org/10.1090/S0002-9939-1991-1069693-7
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Additional Information
Egbert Thümmel
Affiliation:
Táborská 680, 251 01 Říčany, Czech Republic
Email:
thuemmel@rzone.cz
DOI:
https://doi.org/10.1090/S0002-9939-2014-11965-4
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
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
